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42053051311440 = 24351323586023569
BaseRepresentation
bin10011000111111001111010…
…01011110110010101010000
312111220020021110011201022020
421203330331023312111100
521002444122113431230
6225234523255011440
711600142546206211
oct1143747513662520
9174806243151266
1042053051311440
11124436651653a4
1248721b5969b80
131a6077caaa380
14a55542a1b408
154cdd6a3bb810
hex263f3d2f6550

42053051311440 has 160 divisors (see below), whose sum is σ = 146496516122880. Its totient is φ = 9901454204928.

The previous prime is 42053051311429. The next prime is 42053051311451. The reversal of 42053051311440 is 4411315035024.

It is an interprime number because it is at equal distance from previous prime (42053051311429) and next prime (42053051311451).

It is a congruent number.

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, 292940025 + ... + 293083544.

It is an arithmetic number, because the mean of its divisors is an integer number (915603225768).

Almost surely, 242053051311440 is an apocalyptic number.

42053051311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42053051311440 is an abundant number, since it is smaller than the sum of its proper divisors (104443464811440).

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

42053051311440 is a wasteful number, since it uses less digits than its factorization.

42053051311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586023621 (or 586023615 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 42053051311440 its reverse (4411315035024), we get a palindrome (46464366346464).

The spelling of 42053051311440 in words is "forty-two trillion, fifty-three billion, fifty-one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 390 460 520 552 598 624 690 780 897 920 1040 1104 1196 1380 1495 1560 1794 1840 2392 2760 2990 3120 3588 4485 4784 5520 5980 7176 8970 11960 14352 17940 23920 35880 71760 586023569 1172047138 1758070707 2344094276 2930117845 3516141414 4688188552 5860235690 7032282828 7618306397 8790353535 9376377104 11720471380 13478542087 14064565656 15236612794 17580707070 22854919191 23440942760 26957084174 28129131312 30473225588 35161414140 38091531985 40435626261 45709838382 46881885520 53914168348 60946451176 67392710435 70322828280 76183063970 80871252522 91419676764 107828336696 114274595955 121892902352 134785420870 140645656560 152366127940 161742505044 175221047131 182839353528 202178131305 215656673392 228549191910 269570841740 304732255880 323485010088 350442094262 365678707056 404356262610 457098383820 525663141393 539141683480 609464511760 646970020176 700884188524 808712525220 876105235655 914196767640 1051326282786 1078283366960 1401768377048 1617425050440 1752210471310 1828393535280 2102652565572 2628315706965 2803536754096 3234850100880 3504420942620 4205305131144 5256631413930 7008841885240 8410610262288 10513262827860 14017683770480 21026525655720 42053051311440