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153400145406256 = 2479073789739847
BaseRepresentation
bin100010111000010001000001…
…001011001110100100110000
3202010010220120212220211202101
4202320101001023032210300
5130101301444211000011
61302131015352230144
744211536414636440
oct4270210113164460
9663126525824671
10153400145406256
11449726aaa481a1
1215255b8639b354
136779757b88148
1429c486c926120
1512b04531e02c1
hex8b84412ce930

153400145406256 has 80 divisors (see below), whose sum is σ = 340063757748736. Its totient is φ = 65667054647808.

The previous prime is 153400145406217. The next prime is 153400145406257. The reversal of 153400145406256 is 652604541004351.

It is a super-2 number, since 2×1534001454062562 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153400145406257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849708925 + ... + 3849748771.

Almost surely, 2153400145406256 is an apocalyptic number.

153400145406256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153400145406256 is an abundant number, since it is smaller than the sum of its proper divisors (186663612342480).

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

153400145406256 is a wasteful number, since it uses less digits than its factorization.

153400145406256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78666 (or 78660 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 153400145406256 in words is "one hundred fifty-three trillion, four hundred billion, one hundred forty-five million, four hundred six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 907 1814 3628 6349 7256 12698 14512 25396 37897 39847 50792 75794 79694 101584 151588 159388 265279 278929 303176 318776 530558 557858 606352 637552 1061116 1115716 2122232 2231432 4244464 4462864 34372579 36141229 68745158 72282458 137490316 144564916 240608053 252988603 274980632 289129832 481216106 505977206 549961264 578259664 962432212 1011954412 1510081759 1924864424 2023908824 3020163518 3849728848 4047817648 6040327036 10570572313 12080654072 21141144626 24161308144 42282289252 84564578504 169129157008 1369644155413 2739288310826 5478576621652 9587509087891 10957153243304 19175018175782 21914306486608 38350036351564 76700072703128 153400145406256