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455101401040 = 2451113291371779
BaseRepresentation
bin1101001111101100010…
…10000100011111010000
31121111200210120120020221
412213312022010133100
524424021424313130
6545023134242424
744610560040046
oct6476612043720
91544623516227
10455101401040
11166009970570
1274250656414
1333bba251060
141805422c396
15bc8907487a
hex69f62847d0

455101401040 has 160 divisors (see below), whose sum is σ = 1285961443200. Its totient is φ = 147493570560.

The previous prime is 455101401019. The next prime is 455101401043. The reversal of 455101401040 is 40104101554.

It is a junction number, because it is equal to n+sod(n) for n = 455101400996 and 455101401014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455101401043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354130 + ... + 1017649.

It is an arithmetic number, because the mean of its divisors is an integer number (8037259020).

Almost surely, 2455101401040 is an apocalyptic number.

455101401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455101401040 is an abundant number, since it is smaller than the sum of its proper divisors (830860042160).

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

455101401040 is a wasteful number, since it uses less digits than its factorization.

455101401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371845 (or 1371839 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 455101401040 its reverse (40104101554), we get a palindrome (495205502594).

The spelling of 455101401040 in words is "four hundred fifty-five billion, one hundred one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 40 44 52 55 58 65 80 88 104 110 116 130 143 145 176 208 220 232 260 286 290 319 377 440 464 520 572 580 638 715 754 880 1040 1144 1160 1276 1430 1508 1595 1885 2288 2320 2552 2860 3016 3190 3770 4147 5104 5720 6032 6380 7540 8294 11440 12760 15080 16588 20735 25520 30160 33176 41470 66352 82940 165880 331760 1371779 2743558 5487116 6858895 10974232 13717790 15089569 17833127 21948464 27435580 30179138 35666254 39781591 54871160 60358276 71332508 75447845 79563182 89165635 109742320 120716552 142665016 150895690 159126364 178331270 196164397 198907955 241433104 285330032 301791380 318252728 356662540 392328794 397815910 437597501 517160683 603582760 636505456 713325080 784657588 795631820 875195002 980821985 1034321366 1207165520 1426650160 1569315176 1591263640 1750390004 1961643970 2068642732 2187987505 2585803415 3138630352 3182527280 3500780008 3923287940 4137285464 4375975010 5171606830 5688767513 7001560016 7846575880 8274570928 8751950020 10343213660 11377535026 15693151760 17503900040 20686427320 22755070052 28443837565 35007800080 41372854640 45510140104 56887675130 91020280208 113775350260 227550700520 455101401040