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400402617340 = 225112443373489
BaseRepresentation
bin1011101001110011101…
…10110001001111111100
31102021111202011110011011
411310321312301033330
523030011032223330
6503535321405004
740633231043335
oct5647166611774
91367452143134
10400402617340
1114489a925800
1265726039764
132b9b0b8805b
141554584928c
15a636e2782a
hex5d39db13fc

400402617340 has 72 divisors (see below), whose sum is σ = 926323922160. Its totient is φ = 145271892480.

The previous prime is 400402617337. The next prime is 400402617359. The reversal of 400402617340 is 43716204004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885316 + ... + 1258804.

It is an arithmetic number, because the mean of its divisors is an integer number (12865610030).

Almost surely, 2400402617340 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 400402617340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463161961080).

400402617340 is an abundant number, since it is smaller than the sum of its proper divisors (525921304820).

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

400402617340 is a wasteful number, since it uses less digits than its factorization.

400402617340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373963 (or 373950 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 400402617340 in words is "four hundred billion, four hundred two million, six hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 443 484 605 886 1210 1772 2215 2420 4430 4873 8860 9746 19492 24365 48730 53603 97460 107206 214412 268015 373489 536030 746978 1072060 1493956 1867445 3734890 4108379 7469780 8216758 16433516 20541895 41083790 45192169 82167580 90384338 165455627 180768676 225960845 330911254 451921690 661822508 827278135 903843380 1654556270 1820011897 3309112540 3640023794 7280047588 9100059485 18200118970 20020130867 36400237940 40040261734 80080523468 100100654335 200201308670 400402617340