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214026412942980 = 2232511317340991003
BaseRepresentation
bin110000101010011111101000…
…010100001110011010000100
31001001210201120201011112112100
4300222133220110032122010
5211023102043203133410
62035110213213352100
763036620014210011
oct6052375024163204
91031721521145470
10214026412942980
11622171014a3a30
1220007904798630
1392567b13aa071
143abcd0dd5a708
1519b24b8c0e8c0
hexc2a7e850e684

214026412942980 has 144 divisors (see below), whose sum is σ = 710467032510144. Its totient is φ = 51721515183360.

The previous prime is 214026412942847. The next prime is 214026412942981. The reversal of 214026412942980 is 89249214620412.

214026412942980 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 64 + 1 + 294 + 298 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (214026412942981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169867842 + ... + 171123161.

It is an arithmetic number, because the mean of its divisors is an integer number (4933798836876).

Almost surely, 2214026412942980 is an apocalyptic number.

214026412942980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214026412942980 is an abundant number, since it is smaller than the sum of its proper divisors (496440619567164).

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

214026412942980 is a wasteful number, since it uses less digits than its factorization.

214026412942980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340991346 (or 340991341 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 214026412942980 in words is "two hundred fourteen trillion, twenty-six billion, four hundred twelve million, nine hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 317 330 396 495 634 660 951 990 1268 1585 1902 1980 2853 3170 3487 3804 4755 5706 6340 6974 9510 10461 11412 13948 14265 17435 19020 20922 28530 31383 34870 41844 52305 57060 62766 69740 104610 125532 156915 209220 313830 627660 340991003 681982006 1022973009 1363964012 1704955015 2045946018 3068919027 3409910030 3750901033 4091892036 5114865045 6137838054 6819820060 7501802066 10229730090 11252703099 12275676108 15003604132 15344595135 18754505165 20459460180 22505406198 30689190270 33758109297 37509010330 45010812396 56263515495 61378380540 67516218594 75018020660 108094147951 112527030990 135032437188 168790546485 216188295902 225054061980 324282443853 337581092970 432376591804 540470739755 648564887706 675162185940 972847331559 1080941479510 1189035627461 1297129775412 1621412219265 1945694663118 2161882959020 2378071254922 3242824438530 3567106882383 3891389326236 4756142509844 4864236657795 5945178137305 6485648877060 7134213764766 9728473315590 10701320647149 11890356274610 14268427529532 17835534411915 19456946631180 21402641294298 23780712549220 35671068823830 42805282588596 53506603235745 71342137647660 107013206471490 214026412942980