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10140241234512 = 24331137266318679
BaseRepresentation
bin1001001110001111010101…
…1110100000101001010000
31022220101201211212010010010
42103203311132200221100
52312114203224001022
633322210145234520
72064415426230234
oct223436536405120
938811654763103
1010140241234512
11325a4a7904224
1211792b6332a40
135872b39b121c
14270b0c7d45c4
15128b86e1650c
hex938f57a0a50

10140241234512 has 160 divisors (see below), whose sum is σ = 27249707335680. Its totient is φ = 3245776174080.

The previous prime is 10140241234493. The next prime is 10140241234531. The reversal of 10140241234512 is 21543214204101.

It is an interprime number because it is at equal distance from previous prime (10140241234493) and next prime (10140241234531).

It is a self number, because there is not a number n which added to its sum of digits gives 10140241234512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542859189 + ... + 542877867.

It is an arithmetic number, because the mean of its divisors is an integer number (170310670848).

Almost surely, 210140241234512 is an apocalyptic number.

10140241234512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140241234512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624853667840).

10140241234512 is an abundant number, since it is smaller than the sum of its proper divisors (17109466101168).

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

10140241234512 is a wasteful number, since it uses less digits than its factorization.

10140241234512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10140241234512 its reverse (21543214204101), we get a palindrome (31683455438613).

The spelling of 10140241234512 in words is "ten trillion, one hundred forty billion, two hundred forty-one million, two hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 137 186 248 274 372 411 496 548 744 822 1096 1488 1644 2192 2663 3288 4247 5326 6576 7989 8494 10652 12741 15978 16988 18679 21304 25482 31956 33976 37358 42608 50964 56037 63912 67952 74716 82553 101928 112074 127824 149432 165106 203856 224148 247659 298864 330212 364831 448296 495318 579049 660424 729662 896592 990636 1094493 1158098 1320848 1459324 1737147 1981272 2188986 2316196 2559023 2918648 3474294 3962544 4377972 4632392 5118046 5837296 6948588 7677069 8755944 9264784 10236092 11309761 13897176 15354138 17511888 20472184 22619522 27794352 30708276 33929283 40944368 45239044 49742177 61416552 67858566 79329713 90478088 99484354 122833104 135717132 149226531 158659426 180956176 198968708 237989139 271434264 298453062 317318852 397937416 475978278 542868528 596906124 634637704 795874832 951956556 1193812248 1269275408 1542007487 1903913112 2387624496 3084014974 3807826224 4626022461 6168029948 6814678249 9252044922 12336059896 13629356498 18504089844 20444034747 24672119792 27258712996 37008179688 40888069494 54517425992 74016359376 81776138988 109034851984 163552277976 211255025719 327104555952 422510051438 633765077157 845020102876 1267530154314 1690040205752 2535060308628 3380080411504 5070120617256 10140241234512