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42021024410432 = 264334775758129
BaseRepresentation
bin10011000110111110010000…
…01110111010101101000000
312111210011121102220120110102
421203133020032322231000
521001433024222113212
6225212105255221532
711564630105065034
oct1143371016725500
9174704542816412
1042021024410432
111243101a880671
124867b580778a8
131a5a74780c682
14a53b853141c4
154cd0e38695c2
hex2637c83bab40

42021024410432 has 112 divisors (see below), whose sum is σ = 85685072784960. Its totient is φ = 20435371794432.

The previous prime is 42021024410329. The next prime is 42021024410461. The reversal of 42021024410432 is 23401442012024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42021024410395 and 42021024410404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722863544 + ... + 722921672.

Almost surely, 242021024410432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42021024410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42842536392480).

42021024410432 is an abundant number, since it is smaller than the sum of its proper divisors (43664048374528).

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

42021024410432 is a wasteful number, since it uses less digits than its factorization.

42021024410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59288 (or 59278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 42021024410432 its reverse (23401442012024), we get a palindrome (65422466422456).

The spelling of 42021024410432 in words is "forty-two trillion, twenty-one billion, twenty-four million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 347 688 694 757 1376 1388 1514 2752 2776 3028 5552 6056 11104 12112 14921 22208 24224 29842 32551 48448 58129 59684 65102 116258 119368 130204 232516 238736 260408 262679 465032 477472 520816 525358 930064 954944 1041632 1050716 1860128 2083264 2101432 2499547 3720256 4202864 4999094 8405728 9998188 11295197 16811456 19996376 20170763 22590394 39992752 40341526 44003653 45180788 79985504 80683052 88007306 90361576 159971008 161366104 176014612 180723152 322732208 352029224 361446304 645464416 704058448 722892608 867342809 1290928832 1408116896 1734685618 1892157079 2816233792 3469371236 3784314158 6938742472 7568628316 13877484944 15137256632 15269267591 27754969888 30274513264 30538535182 55509939776 60549026528 61077070364 121098053056 122154140728 244308281456 488616562912 656578506413 977233125824 1313157012826 2626314025652 5252628051304 10505256102608 21010512205216 42021024410432