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400377400470 = 2345719687473
BaseRepresentation
bin1011101001110000101…
…10100100110010010110
31102021102222201022010000
411310320112210302112
523024433103303340
6503533021112130
740632503515635
oct5647026446226
91367388638100
10400377400470
11144887671a13
12657196b8646
132b9a8899228
141554236351c
15a634ae5d30
hex5d385a4c96

400377400470 has 80 divisors (see below), whose sum is σ = 1078069227840. Its totient is φ = 106618657536.

The previous prime is 400377400457. The next prime is 400377400471. The reversal of 400377400470 is 74004773004.

It is a super-2 number, since 2×4003774004702 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400377400471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238654 + ... + 926126.

It is an arithmetic number, because the mean of its divisors is an integer number (13475865348).

Almost surely, 2400377400470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400377400470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539034613920).

400377400470 is an abundant number, since it is smaller than the sum of its proper divisors (677691827370).

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

400377400470 is a wasteful number, since it uses less digits than its factorization.

400377400470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688211 (or 688202 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 400377400470 in words is "four hundred billion, three hundred seventy-seven million, four hundred thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 719 810 1438 2157 3595 4314 6471 7190 10785 12942 19413 21570 32355 38826 58239 64710 97065 116478 194130 291195 582390 687473 1374946 2062419 3437365 4124838 6187257 6874730 10312095 12374514 18561771 20624190 30936285 37123542 55685313 61872570 92808855 111370626 185617710 278426565 494293087 556853130 988586174 1482879261 2471465435 2965758522 4448637783 4942930870 7414396305 8897275566 13345913349 14828792610 22243188915 26691826698 40037740047 44486377830 66729566745 80075480094 133459133490 200188700235 400377400470