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40222103331032 = 23717953267716561
BaseRepresentation
bin10010010010100111100000…
…01011100110000011011000
312021102012021112112020210222
421021103300023212003120
520232444331423043112
6221313440145255212
711320644134154050
oct1111236013460330
9167365245466728
1040222103331032
11118a8109818aa7
124617391034508
131959c0ac7762c
149d0a8dd58560
1549b4088d1372
hex2494f02e60d8

40222103331032 has 128 divisors (see below), whose sum is σ = 91395640103040. Its totient is φ = 16199985070080.

The previous prime is 40222103331001. The next prime is 40222103331071. The reversal of 40222103331032 is 23013330122204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40222103330992 and 40222103331010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2428716032 + ... + 2428732592.

It is an arithmetic number, because the mean of its divisors is an integer number (714028438305).

Almost surely, 240222103331032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222103331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45697820051520).

40222103331032 is an abundant number, since it is smaller than the sum of its proper divisors (51173536772008).

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

40222103331032 is a wasteful number, since it uses less digits than its factorization.

40222103331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 40222103331032 its reverse (23013330122204), we get a palindrome (63235433453236).

The spelling of 40222103331032 in words is "forty trillion, two hundred twenty-two billion, one hundred three million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 953 1906 2677 3812 5354 6671 7624 10708 13342 16201 16561 18739 21416 26684 32402 33122 37478 45509 53368 64804 66244 74956 91018 113407 115927 129608 132488 149912 182036 226814 231854 281537 318563 364072 453628 463708 563074 637126 907256 927416 1126148 1274252 1970759 2252296 2548504 2551181 3941518 5102362 7883036 10204724 15766072 15782633 17858267 20409448 31565266 35716534 43370077 44333797 63130532 71433068 86740154 88667594 110478431 126261064 142866136 173480308 177335188 220956862 268304761 303590539 310336579 346960616 354670376 441913724 536609522 607181078 620673158 753674549 883827448 1073219044 1214362156 1241346316 1507349098 1878133327 2146438088 2428724312 2482692632 3014698196 3756266654 5275721843 6029396392 7512533308 10551443686 15025066616 21102887372 42205774744 42250108541 84500217082 169000434164 295750759787 338000868328 591501519574 718251845197 1183003039148 1436503690394 2366006078296 2873007380788 5027762916379 5746014761576 10055525832758 20111051665516 40222103331032