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214423601032446 = 231322309247736973
BaseRepresentation
bin110000110000010001100010…
…100100100010110011111110
31001010012200210102122001102120
4300300101202210202303332
5211101104013331014241
62040012501544503410
763110410503235101
oct6060214244426376
91033180712561376
10214423601032446
116235a5a1853323
122007089217ab66
13928509c2aab00
143ad422c8b8738
1519bc9b3819666
hexc30462922cfe

214423601032446 has 96 divisors (see below), whose sum is σ = 464774245578720. Its totient is φ = 65919511936512.

The previous prime is 214423601032349. The next prime is 214423601032541. The reversal of 214423601032446 is 644230106324412.

It is a super-3 number, since 3×2144236010324463 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214423601032398 and 214423601032407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5799446016 + ... + 5799482988.

It is an arithmetic number, because the mean of its divisors is an integer number (4841398391445).

Almost surely, 2214423601032446 is an apocalyptic number.

214423601032446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

214423601032446 is an abundant number, since it is smaller than the sum of its proper divisors (250350644546274).

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

214423601032446 is a wasteful number, since it uses less digits than its factorization.

214423601032446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41790 (or 41777 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 214423601032446 its reverse (644230106324412), we get a palindrome (858653707356858).

The spelling of 214423601032446 in words is "two hundred fourteen trillion, four hundred twenty-three billion, six hundred one million, thirty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2309 2477 4618 4954 6927 7431 13854 14862 30017 32201 36973 60034 64402 73946 90051 96603 110919 180102 193206 221838 390221 418613 480649 780442 837226 961298 1170663 1255839 1441947 2341326 2511678 2883894 5719393 6248437 11438786 12496874 17158179 18745311 34316358 37490622 74352109 85370657 91582121 148704218 170741314 183164242 223056327 256111971 274746363 446112654 512223942 549492726 966577417 1109818541 1190567573 1933154834 2219637082 2381135146 2899732251 3329455623 3571702719 5799464502 6658911246 7143405438 14427641033 15477378449 28855282066 30954756898 43282923099 46432135347 86565846198 92864270694 211463117389 422926234778 634389352167 1268778704334 2749020526057 5498041052114 8247061578171 16494123156342 35737266838741 71474533677482 107211800516223 214423601032446