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41223653643144 = 2337435706485831
BaseRepresentation
bin10010101111110001000010…
…01110110101001110001000
312101221221110022010200201010
421113320201032311032020
520400402020313040034
6223401515100323520
711453211365305350
oct1127704116651610
9171857408120633
1041223653643144
1112153942868375
1247595062435a0
131a004b249c8cb
14a2734223db60
154b74c62ce3e9
hex257e213b5388

41223653643144 has 64 divisors (see below), whose sum is σ = 120520980771840. Its totient is φ = 11504275433280.

The previous prime is 41223653643119. The next prime is 41223653643157. The reversal of 41223653643144 is 44134635632214.

It is a junction number, because it is equal to n+sod(n) for n = 41223653643093 and 41223653643102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853235692 + ... + 2853250139.

It is an arithmetic number, because the mean of its divisors is an integer number (1883140324560).

Almost surely, 241223653643144 is an apocalyptic number.

It is an amenable number.

41223653643144 is an abundant number, since it is smaller than the sum of its proper divisors (79297327128696).

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

41223653643144 is a wasteful number, since it uses less digits than its factorization.

41223653643144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706485890 (or 5706485886 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 41223653643144 in words is "forty-one trillion, two hundred twenty-three billion, six hundred fifty-three million, six hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 5706485831 11412971662 17119457493 22825943324 34238914986 39945400817 45651886648 68477829972 79890801634 119836202451 136955659944 159781603268 239672404902 245378890733 319563206536 479344809804 490757781466 736136672199 958689619608 981515562932 1472273344398 1717652235131 1963031125864 2944546688796 3435304470262 5152956705393 5889093377592 6870608940524 10305913410786 13741217881048 20611826821572 41223653643144