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4014641475 = 345213211731
BaseRepresentation
bin1110111101001010…
…1001000101000011
3101100210020220210000
43233102221011003
531210222011400
61502211411043
7201325614045
oct35722510503
911323226700
104014641475
111780184619
129405b3a83
134bc979b00
142a1285a95
151876b8600
hexef4a9143

4014641475 has 90 divisors (see below), whose sum is σ = 8053231956. Its totient is φ = 1976270400.

The previous prime is 4014641471. The next prime is 4014641483. The reversal of 4014641475 is 5741464104.

It is a happy number.

4014641475 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 641 + 4 + 7 + 5 = 666.

4014641475 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4014641475 - 22 = 4014641471 is a prime.

It is a super-2 number, since 2×40146414752 = 32234692345580351250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014641471) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 336360 + ... + 348090.

Almost surely, 24014641475 is an apocalyptic number.

4014641475 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4014641475 is an abundant number, since it is smaller than the sum of its proper divisors (4038590481).

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

4014641475 is a wasteful number, since it uses less digits than its factorization.

4014641475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4014641475 is about 63361.1984971875. The cubic root of 4014641475 is about 1589.3355179997.

The spelling of 4014641475 in words is "four billion, fourteen million, six hundred forty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 845 975 1053 1521 1755 2025 2535 2925 4225 4563 5265 7605 8775 11731 12675 13689 22815 26325 35193 38025 58655 68445 105579 114075 152503 175965 293275 316737 342225 457509 527895 762515 879825 950211 1372527 1583685 1982539 2287545 2639475 3812575 4117581 4751055 5947617 6862635 7918425 9912695 11437725 12352743 17842851 20587905 23755275 29738085 34313175 49563475 53528553 61763715 89214255 102939525 148690425 160585659 267642765 308818575 446071275 802928295 1338213825 4014641475