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234142232324 = 2271113210144537
BaseRepresentation
bin1101101000001111110…
…1101110111100000100
3211101100202220210101112
43122003331232330010
512314010402413244
6255321412344152
722626156064640
oct3320375567404
9741322823345
10234142232324
1190332205730
1239465915058
1319105915100
14b492705c20
156155a6b39e
hex3683f6ef04

234142232324 has 144 divisors (see below), whose sum is σ = 558664718976. Its totient is φ = 83371392000.

The previous prime is 234142232323. The next prime is 234142232351. The reversal of 234142232324 is 423232241432.

It is not an unprimeable number, because it can be changed into a prime (234142232323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5234984 + ... + 5279520.

It is an arithmetic number, because the mean of its divisors is an integer number (3879616104).

Almost surely, 2234142232324 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 234142232324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279332359488).

234142232324 is an abundant number, since it is smaller than the sum of its proper divisors (324522486652).

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

234142232324 is a wasteful number, since it uses less digits than its factorization.

234142232324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44686 (or 44671 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 234142232324 its reverse (423232241432), we get a palindrome (657374473756).

The spelling of 234142232324 in words is "two hundred thirty-four billion, one hundred forty-two million, two hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 169 182 202 286 308 338 364 404 572 676 707 1001 1111 1183 1313 1414 1859 2002 2222 2366 2626 2828 3718 4004 4444 4732 5252 7436 7777 9191 13013 14443 15554 17069 18382 26026 28886 31108 34138 36764 44537 52052 57772 68276 89074 101101 119483 178148 187759 202202 238966 311759 375518 404404 477932 489907 578981 623518 751036 979814 1157962 1247036 1314313 1959628 2315924 2628626 3429349 4052867 4498237 5257252 6368791 6858698 7526753 8105734 8996474 12737582 13717396 15053506 16211468 17992948 25475164 30107012 31487659 44581537 49480607 52687271 58477081 62975318 82794283 89163074 98961214 105374542 116954162 125950636 165588566 178326148 197922428 210749084 233908324 331177132 346364249 409339567 579559981 643247891 692728498 760202053 818679134 1159119962 1286495782 1385456996 1520404106 1637358268 2318239924 2572991564 3040808212 4502735237 5321414371 8362222583 9005470474 10642828742 16724445166 18010940948 21285657484 33448890332 58535558081 117071116162 234142232324