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140224241212224 = 26313192956820201
BaseRepresentation
bin11111111000100010000000…
…000101100001101101000000
3200101111022021110122101202120
4133320202000011201231000
5121334413221222242344
61214122043242244240
741351603263115151
oct3770420005415500
9611438243571676
10140224241212224
1140752848586a34
12138884927b6680
136032120cb2720
14268ac64a77928
15113284abec219
hex7f8880161b40

140224241212224 has 112 divisors (see below), whose sum is σ = 420578105532480. Its totient is φ = 40875082444800.

The previous prime is 140224241212201. The next prime is 140224241212271. The reversal of 140224241212224 is 422212142422041.

It is a congruent number.

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, 1478362677 + ... + 1478457524.

It is an arithmetic number, because the mean of its divisors is an integer number (3755161656540).

Almost surely, 2140224241212224 is an apocalyptic number.

It is an amenable number.

140224241212224 is an abundant number, since it is smaller than the sum of its proper divisors (280353864320256).

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

140224241212224 is a wasteful number, since it uses less digits than its factorization.

140224241212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956820248 (or 2956820238 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 140224241212224 its reverse (422212142422041), we get a palindrome (562436383634265).

The spelling of 140224241212224 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred forty-one million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 47424 2956820201 5913640402 8870460603 11827280804 17740921206 23654561608 35481842412 38438662613 47309123216 56179583819 70963684824 76877325226 94618246432 112359167638 115315987839 141927369648 153754650452 168538751457 189236492864 224718335276 230631975678 283854739296 307509300904 337077502914 449436670552 461263951356 567709478592 615018601808 674155005828 730334589647 898873341104 922527902712 1230037203616 1348310011656 1460669179294 1797746682208 1845055805424 2191003768941 2460074407232 2696620023312 2921338358588 3595493364416 3690111610848 4382007537882 5393240046624 5842676717176 7380223221696 8764015075764 10786480093248 11685353434352 17528030151528 23370706868704 35056060303056 46741413737408 70112120606112 140224241212224