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23435140041126 = 232111740991698539
BaseRepresentation
bin1010101010000011010110…
…01100101000100110100110
310001222101012012111012100100
411111001223030220212212
511032430131322304001
6121501542114524530
74636063421424342
oct525015314504646
9101871165435310
1023435140041126
117515872667110
122765a78b96746
13100cc026988c8
145b03a4278622
152a9905eb7586
hex15506b3289a6

23435140041126 has 96 divisors (see below), whose sum is σ = 58664853936000. Its totient is φ = 6682184375040.

The previous prime is 23435140041113. The next prime is 23435140041133. The reversal of 23435140041126 is 62114004153432.

23435140041126 is a `hidden beast` number, since 2 + 3 + 43 + 51 + 400 + 41 + 126 = 666.

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 47 ways as a sum of consecutive naturals, for example, 12947965 + ... + 14646503.

It is an arithmetic number, because the mean of its divisors is an integer number (611092228500).

Almost surely, 223435140041126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23435140041126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29332426968000).

23435140041126 is an abundant number, since it is smaller than the sum of its proper divisors (35229713894874).

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

23435140041126 is a wasteful number, since it uses less digits than its factorization.

23435140041126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702674 (or 1702671 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 23435140041126 its reverse (62114004153432), we get a palindrome (85549144194558).

The spelling of 23435140041126 in words is "twenty-three trillion, four hundred thirty-five billion, one hundred forty million, forty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 4099 8198 12297 24594 36891 45089 69683 73782 90178 135267 139366 209049 270534 405801 418098 627147 766513 811602 1254294 1533026 1698539 2299539 3397078 4599078 5095617 6898617 10191234 13797234 15286851 18683929 28875163 30573702 37367858 56051787 57750326 86625489 112103574 168155361 173250978 259876467 317626793 336310722 519752934 635253586 952880379 1905760758 2858641137 5717282274 6962311361 13924622722 20886934083 41773868166 62660802249 76585424971 118359293137 125321604498 153170849942 229756274913 236718586274 355077879411 459512549826 689268824739 710155758822 1065233638233 1301952224507 1378537649478 2130467276466 2603904449014 3905856673521 7811713347042 11717570020563 23435140041126