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400214442232 = 2311291498091301
BaseRepresentation
bin1011101001011101010…
…00111100000011111000
31102021000122002011102201
411310232220330003320
523024114344122412
6503504520235544
740625454426013
oct5645650740370
91367018064381
10400214442232
11144803689a90
126569300bbb4
132b980bb1137
141552886437a
15a625656e57
hex5d2ea3c0f8

400214442232 has 128 divisors (see below), whose sum is σ = 854242200000. Its totient is φ = 174114304000.

The previous prime is 400214442211. The next prime is 400214442263. The reversal of 400214442232 is 232244412004.

It is a super-3 number, since 3×4002144422323 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400214442232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307619982 + ... + 307621282.

Almost surely, 2400214442232 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 400214442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427121100000).

400214442232 is an abundant number, since it is smaller than the sum of its proper divisors (454027757768).

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

400214442232 is a wasteful number, since it uses less digits than its factorization.

400214442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 400214442232 its reverse (232244412004), we get a palindrome (632458854236).

The spelling of 400214442232 in words is "four hundred billion, two hundred fourteen million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 149 232 298 319 596 638 809 1192 1276 1301 1618 1639 2552 2602 3236 3278 4321 5204 6472 6556 8642 8899 10408 13112 14311 17284 17798 23461 28622 34568 35596 37729 46922 47531 57244 71192 75458 93844 95062 114488 120541 150916 187688 190124 193849 241082 258071 301832 380248 387698 415019 482164 516142 775396 830038 964328 1032284 1052509 1325951 1550792 1660076 2064568 2105018 2132339 2651902 3320152 3495689 4210036 4264678 5303804 5621621 6991378 8420072 8529356 10607608 11243242 11577599 13982756 17058712 22486484 23155198 27965512 30522761 38452579 44972968 46310396 61045522 61837831 76905158 92620792 122091044 123675662 153810316 156823841 244182088 247351324 307620632 313647682 335750371 494702648 627295364 671500742 1254590728 1343001484 1725062251 2686002968 3450124502 4547891389 6900249004 9095782778 13800498008 18191565556 36383131112 50026805279 100053610558 200107221116 400214442232