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400378411992 = 2331319343115427
BaseRepresentation
bin1011101001110000110…
…10011011101111011000
31102021110001121200122210
411310320122123233120
523024433333140432
6503533054515120
740632515230656
oct5647032335730
91367401550583
10400378411992
111448881a2989
1265719b05aa0
132b9a8b61770
1415542547dd6
15a634c458cc
hex5d3869bbd8

400378411992 has 128 divisors (see below), whose sum is σ = 1086111452160. Its totient is φ = 122262773760.

The previous prime is 400378411891. The next prime is 400378412003. The reversal of 400378411992 is 299114873004.

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, 25945383 + ... + 25960809.

It is an arithmetic number, because the mean of its divisors is an integer number (8485245720).

Almost surely, 2400378411992 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 400378411992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543055726080).

400378411992 is an abundant number, since it is smaller than the sum of its proper divisors (685733040168).

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

400378411992 is a wasteful number, since it uses less digits than its factorization.

400378411992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073 (or 16069 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 400378411992 in words is "four hundred billion, three hundred seventy-eight million, four hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 431 579 772 862 1158 1293 1544 1724 2316 2509 2586 3448 4632 5018 5172 5603 7527 10036 10344 11206 15054 15427 16809 20072 22412 30108 30854 33618 44824 46281 60216 61708 67236 83183 92562 123416 134472 166366 185124 200551 249549 332732 370248 401102 499098 601653 665464 802204 998196 1081379 1203306 1604408 1996392 2162758 2406612 2977411 3244137 4325516 4813224 5954822 6488274 6649037 8651032 8932233 11909644 12976548 13298074 17864466 19947111 23819288 25953096 26596148 35728932 38706343 39894222 53192296 71457864 77412686 79788444 86437481 116119029 154825372 159576888 172874962 232238058 259312443 309650744 345749924 464476116 518624886 691499848 928952232 1037249772 1283264141 2074499544 2566528282 3849792423 5133056564 7699584846 10266113128 15399169692 16682433833 30798339384 33364867666 50047301499 66729735332 100094602998 133459470664 200189205996 400378411992