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153434234044 = 227132533671667
BaseRepresentation
bin1000111011100101100…
…1001001110010111100
3112200001002120200100001
42032321121021302330
510003213130442134
6154253044044044
714041146320260
oct2167131116274
9480032520301
10153434234044
115a086697003
12258a0993624
1311612c00500
1475d79100a0
153ed034a414
hex23b9649cbc

153434234044 has 144 divisors (see below), whose sum is σ = 339685291008. Its totient is φ = 59356088064.

The previous prime is 153434234039. The next prime is 153434234069. The reversal of 153434234044 is 440432434351.

It is a junction number, because it is equal to n+sod(n) for n = 153434233994 and 153434234012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92041299 + ... + 92042965.

It is an arithmetic number, because the mean of its divisors is an integer number (2358925632).

Almost surely, 2153434234044 is an apocalyptic number.

153434234044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153434234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169842645504).

153434234044 is an abundant number, since it is smaller than the sum of its proper divisors (186251056964).

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

153434234044 is a wasteful number, since it uses less digits than its factorization.

153434234044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 153434234044 its reverse (440432434351), we get a palindrome (593866668395).

The spelling of 153434234044 in words is "one hundred fifty-three billion, four hundred thirty-four million, two hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 169 182 212 338 364 367 371 676 689 734 742 1183 1378 1468 1484 1667 2366 2569 2756 3334 4732 4771 4823 5138 6668 8957 9542 9646 10276 11669 17914 19084 19292 19451 21671 23338 33397 35828 38902 43342 46676 62023 62699 66794 77804 86684 88351 124046 125398 133588 136157 151697 176702 248092 250796 252863 272314 281723 303394 353404 434161 505726 544628 563446 606788 611789 618457 868322 1011452 1126892 1148563 1223578 1236914 1736644 1770041 1972061 2297126 2447156 2473828 3287219 3540082 3944122 4282523 4594252 6574438 7080164 7888244 7953257 8039941 8565046 13148876 14931319 15906514 16079882 17130092 23010533 29862638 31813028 32159764 32424817 46021066 55672799 59725276 64849634 92042132 103392341 104519233 111345598 129699268 206784682 209038466 222691196 226973719 413569364 418076932 421522621 453947438 723746387 843045242 907894876 1447492774 1686090484 2894985548 2950658347 5479794073 5901316694 10959588146 11802633388 21919176292 38358558511 76717117022 153434234044