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421155105111440 = 245719271146059951
BaseRepresentation
bin101111111000010011101000…
…0011011110111110110010000
32001020012000221101210002111122
41133300213100123313312100
5420200201123402031230
64051415552340301412
7154465311054263330
oct13760472033676620
92036160841702448
10421155105111440
11112213971387537
123b29a8206a1868
13150cc9a9c1b56b
1476000316c30c0
1533a53265c5be5
hex17f09d06f7d90

421155105111440 has 160 divisors (see below), whose sum is σ = 1182314414653440. Its totient is φ = 136291460544000.

The previous prime is 421155105111407. The next prime is 421155105111451. The reversal of 421155105111440 is 44111501551124.

It is a happy number.

It is a super-2 number, since 2×4211551051114402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 421155105111440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70146536 + ... + 75913415.

It is an arithmetic number, because the mean of its divisors is an integer number (7389465091584).

Almost surely, 2421155105111440 is an apocalyptic number.

421155105111440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421155105111440 is an abundant number, since it is smaller than the sum of its proper divisors (761159309542000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421155105111440 is a wasteful number, since it uses less digits than its factorization.

421155105111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146060261 (or 146060255 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 35.

Adding to 421155105111440 its reverse (44111501551124), we get a palindrome (465266606662564).

The spelling of 421155105111440 in words is "four hundred twenty-one trillion, one hundred fifty-five billion, one hundred five million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 271 280 304 380 532 542 560 665 760 1064 1084 1330 1355 1520 1897 2128 2168 2660 2710 3794 4336 5149 5320 5420 7588 9485 10298 10640 10840 15176 18970 20596 21680 25745 30352 36043 37940 41192 51490 72086 75880 82384 102980 144172 151760 180215 205960 288344 360430 411920 576688 720860 1441720 2883440 146059951 292119902 584239804 730299755 1022419657 1168479608 1460599510 2044839314 2336959216 2775139069 2921199020 4089678628 5112098285 5550278138 5842398040 8179357256 10224196570 11100556276 11684796080 13875695345 16358714512 19425973483 20448393140 22201112552 27751390690 38851946966 39582246721 40896786280 44402225104 55502781380 77703893932 79164493442 81793572560 97129867415 111005562760 155407787864 158328986884 194259734830 197911233605 222011125520 277075727047 310815575728 316657973768 388519469660 395822467210 554151454094 633315947536 752062687699 777038939320 791644934420 1108302908188 1385378635235 1504125375398 1554077878640 1583289868840 2216605816376 2770757270470 3008250750796 3166579737680 3760313438495 4433211632752 5264438813893 5541514540940 6016501501592 7520626876990 10528877627786 11083029081880 12033003003184 15041253753980 21057755255572 22166058163760 26322194069465 30082507507960 42115510511144 52644388138930 60165015015920 84231021022288 105288776277860 210577552555720 421155105111440