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42301134033432 = 233235911939108791
BaseRepresentation
bin10011001111001000000000…
…00100010101001000011000
312112202221121202120202102220
421213210000010111020120
521021030210303032212
6225544512300424040
711624104351435161
oct1147440004251030
9175687552522386
1042301134033432
11125298a041226a
1248b22b0248020
131a7ac97896221
14a63558948768
154d5539c1338c
hex267900115218

42301134033432 has 128 divisors (see below), whose sum is σ = 112231567872000. Its totient is φ = 13257487084160.

The previous prime is 42301134033413. The next prime is 42301134033451. The reversal of 42301134033432 is 23433043110324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42301134033413) and next prime (42301134033451).

It is a junction number, because it is equal to n+sod(n) for n = 42301134033393 and 42301134033402.

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, 388774957 + ... + 388883747.

It is an arithmetic number, because the mean of its divisors is an integer number (876809124000).

Almost surely, 242301134033432 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 42301134033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56115783936000).

42301134033432 is an abundant number, since it is smaller than the sum of its proper divisors (69930433838568).

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

42301134033432 is a wasteful number, since it uses less digits than its factorization.

42301134033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120821 (or 120817 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 42301134033432 its reverse (23433043110324), we get a palindrome (65734177143756).

The spelling of 42301134033432 in words is "forty-two trillion, three hundred one billion, one hundred thirty-four million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5428 8142 10856 11939 16284 23878 32568 35817 47756 71634 95512 108791 143268 217582 274597 286536 326373 435164 549194 652746 704401 823791 870328 1098388 1305492 1408802 1647582 2113203 2196776 2502193 2610984 2817604 3295164 4226406 5004386 5635208 6418669 6590328 7506579 8452812 10008772 12837338 15013158 16201223 16905624 19256007 20017544 25674676 30026316 32402446 38512014 48603669 51349352 60052632 64804892 77024028 97207338 129609784 147629387 154048056 194414676 295258774 388829352 442888161 590517548 885776322 1181035096 1298855749 1771552644 2597711498 3543105288 3896567247 5195422996 7793134494 10390845992 15586268988 29873682227 31172537976 59747364454 76632489191 89621046681 119494728908 153264978382 179242093362 229897467573 238989457816 306529956764 358484186724 459794935146 613059913528 716968373448 919589870292 1762547251393 1839179740584 3525094502786 5287641754179 7050189005572 10575283508358 14100378011144 21150567016716 42301134033432