Search a number
-
+
400340131322916 = 223371998095600729
BaseRepresentation
bin101101100000110110111001…
…1010100010001110000100100
31221111111010212002100120120010
41123001231303110101300210
5404433133042104313131
63535241414541410220
7150216422442316311
oct13301556324216044
91844433762316503
10400340131322916
11106619329316874
1238a98723b69970
131424cbb26bb885
1470c07cc57dd08
153143b73ab4b46
hex16c1b73511c24

400340131322916 has 96 divisors (see below), whose sum is σ = 965386628640000. Its totient is φ = 129027869042688.

The previous prime is 400340131322909. The next prime is 400340131322917. The reversal of 400340131322916 is 619223131043004.

It is not an unprimeable number, because it can be changed into a prime (400340131322917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68679640 + ... + 74280368.

It is an arithmetic number, because the mean of its divisors is an integer number (10056110715000).

Almost surely, 2400340131322916 is an apocalyptic number.

It is an amenable number.

400340131322916 is an abundant number, since it is smaller than the sum of its proper divisors (565046497317084).

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

400340131322916 is a wasteful number, since it uses less digits than its factorization.

400340131322916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601781 (or 5601779 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 400340131322916 in words is "four hundred trillion, three hundred forty billion, one hundred thirty-one million, three hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 37 74 111 148 199 222 398 444 597 796 809 1194 1618 2388 2427 3236 4854 7363 9708 14726 22089 29452 29933 44178 59866 88356 89799 119732 160991 179598 321982 359196 482973 643964 965946 1931892 5600729 5956667 11201458 11913334 16802187 17870001 22402916 23826668 33604374 35740002 67208748 71480004 207226973 414453946 621680919 828907892 1114545071 1243361838 2229090142 2486723676 3343635213 4458180284 4530989761 6687270426 9061979522 13374540852 13592969283 18123959044 27185938566 41238167627 54371877132 82476335254 123714502881 164952670508 167646621157 247429005762 335293242314 494858011524 502939863471 670586484628 901666962439 1005879726942 1803333924878 2011759453884 2705000887317 3606667849756 5410001774634 10820003549268 33361677610243 66723355220486 100085032830729 133446710440972 200170065661458 400340131322916