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114022157772 = 2231132333131153
BaseRepresentation
bin110101000110001000…
…0000000110111001100
3101220022101210202120110
41222030100000313030
53332004133022042
6124214150320020
711144401230645
oct1521420006714
9356271722513
10114022157772
11443a1598846
121a121959010
13a9a18a8c13
1457394646cc
152e7529809c
hex1a8c400dcc

114022157772 has 96 divisors (see below), whose sum is σ = 270653842368. Its totient is φ = 37357092864.

The previous prime is 114022157759. The next prime is 114022157789. The reversal of 114022157772 is 277751220411.

It is a happy number.

114022157772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114022157772.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98891148 + ... + 98892300.

It is an arithmetic number, because the mean of its divisors is an integer number (2819310858).

Almost surely, 2114022157772 is an apocalyptic number.

114022157772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114022157772 is an abundant number, since it is smaller than the sum of its proper divisors (156631684596).

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

114022157772 is a wasteful number, since it uses less digits than its factorization.

114022157772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 114022157772 in words is "one hundred fourteen billion, twenty-two million, one hundred fifty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 113 226 233 313 339 452 466 626 678 699 932 939 1153 1252 1356 1398 1878 2306 2796 3459 3756 4612 6918 13836 26329 35369 52658 70738 72929 78987 105316 106107 130289 141476 145858 157974 212214 218787 260578 268649 291716 315948 360889 390867 424428 437574 521156 537298 721778 781734 805947 875148 1074596 1082667 1443556 1563468 1611894 2165334 3223788 4330668 8240977 16481954 24722931 30357337 32963908 40780457 49445862 60714674 81560914 84087137 91072011 98891724 121429348 122341371 163121828 168174274 182144022 244682742 252261411 336348548 364288044 489365484 504522822 1009045644 9501846481 19003692962 28505539443 38007385924 57011078886 114022157772