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400343374100 = 2252191013208003
BaseRepresentation
bin1011101001101100101…
…00110001100100010100
31102021100121200120201002
411310312110301210110
523024400400432400
6503525403522432
740631611350455
oct5646624614424
91367317616632
10400343374100
1114486a44144a
126570a229418
132b9a1814697
141553ba2712c
15a631b23ed5
hex5d36531914

400343374100 has 72 divisors (see below), whose sum is σ = 915375683040. Its totient is φ = 151558577280.

The previous prime is 400343374061. The next prime is 400343374117. The reversal of 400343374100 is 1473343004.

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, 1820699 + ... + 2028701.

Almost surely, 2400343374100 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 400343374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457687841520).

400343374100 is an abundant number, since it is smaller than the sum of its proper divisors (515032308940).

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

400343374100 is a wasteful number, since it uses less digits than its factorization.

400343374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209049 (or 209042 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The spelling of 400343374100 in words is "four hundred billion, three hundred forty-three million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1013 1900 2026 4052 5065 10130 19247 20260 25325 38494 50650 76988 96235 101300 192470 208003 384940 416006 481175 832012 962350 1040015 1924700 2080030 3952057 4160060 5200075 7904114 10400150 15808228 19760285 20800300 39520570 79041140 98801425 197602850 210707039 395205700 421414078 842828156 1053535195 2107070390 4003433741 4214140780 5267675975 8006867482 10535351950 16013734964 20017168705 21070703900 40034337410 80068674820 100085843525 200171687050 400343374100