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4114345326 = 2371341239769
BaseRepresentation
bin1111010100111011…
…1110110101101110
3101121201212101202020
43311032332311232
531411233022301
61520132411010
7203646233610
oct36516766556
911551771666
104114345326
1118214935a3
12969a76a66
13507518880
142b05dadb0
15191310436
hexf53bed6e

4114345326 has 128 divisors (see below), whose sum is σ = 10431590400. Its totient is φ = 1052835840.

The previous prime is 4114345303. The next prime is 4114345349. The reversal of 4114345326 is 6235434114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4114345303) and next prime (4114345349).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5349870 + ... + 5350638.

It is an arithmetic number, because the mean of its divisors is an integer number (81496800).

Almost surely, 24114345326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114345326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215795200).

4114345326 is an abundant number, since it is smaller than the sum of its proper divisors (6317245074).

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

4114345326 is a wasteful number, since it uses less digits than its factorization.

4114345326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its digits is 34560, while the sum is 33.

The square root of 4114345326 is about 64143.1627377385. The cubic root of 4114345326 is about 1602.3851569476.

The spelling of 4114345326 in words is "four billion, one hundred fourteen million, three hundred forty-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 239 246 273 287 478 533 546 574 717 769 861 1066 1434 1538 1599 1673 1722 2307 3107 3198 3346 3731 4614 5019 5383 6214 7462 9321 9799 9997 10038 10766 11193 16149 18642 19598 19994 21749 22386 29397 29991 31529 32298 43498 58794 59982 63058 65247 68593 69979 94587 127387 130494 137186 139958 183791 189174 205779 209937 220703 254774 367582 382161 409877 411558 419874 441406 551373 662109 764322 819754 891709 1102746 1229631 1286537 1324218 1783418 2389283 2459262 2573074 2675127 2869139 3859611 4778566 5350254 5738278 7167849 7535431 7719222 8607417 14335698 15070862 16724981 17214834 22606293 33449962 45212586 50174943 52748017 97960603 100349886 105496034 158244051 195921206 293881809 316488102 587763618 685724221 1371448442 2057172663 4114345326