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10144233413010 = 2335176136230699
BaseRepresentation
bin1001001110011110001101…
…1011011101100110010010
31022220210001001211210111000
42103213203123131212102
52312200342223204020
633324110235402430
72064616363206504
oct223474333354622
938823031753430
1010144233413010
113261166335aa4
12117a02b2b3416
1358779bac4818
14270daaaadd74
15128d1c644090
hex939e36dd992

10144233413010 has 128 divisors (see below), whose sum is σ = 29112092064000. Its totient is φ = 2504265845760.

The previous prime is 10144233413009. The next prime is 10144233413029. The reversal of 10144233413010 is 1031433244101.

10144233413010 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 233 + 413 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17835360 + ... + 18395339.

It is an arithmetic number, because the mean of its divisors is an integer number (227438219250).

Almost surely, 210144233413010 is an apocalyptic number.

10144233413010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144233413010 is an abundant number, since it is smaller than the sum of its proper divisors (18967858650990).

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

10144233413010 is a wasteful number, since it uses less digits than its factorization.

10144233413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36230793 (or 36230787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10144233413010 its reverse (1031433244101), we get a palindrome (11175666657111).

The spelling of 10144233413010 in words is "ten trillion, one hundred forty-four billion, two hundred thirty-three million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 61 85 90 102 122 135 153 170 183 255 270 305 306 366 459 510 549 610 765 915 918 1037 1098 1530 1647 1830 2074 2295 2745 3111 3294 4590 5185 5490 6222 8235 9333 10370 15555 16470 18666 27999 31110 46665 55998 93330 139995 279990 36230699 72461398 108692097 181153495 217384194 326076291 362306990 543460485 615921883 652152582 978228873 1086920970 1231843766 1630381455 1847765649 1956457746 2210072639 3079609415 3260762910 3695531298 4420145278 4891144365 5543296947 6159218830 6630217917 9238828245 9782288730 11050363195 11086593894 13260435834 16629890841 18477656490 19890653751 22100726390 27716484735 33151089585 33259781682 37571234863 39781307502 55432969470 59671961253 66302179170 75142469726 83149454205 99453268755 112713704589 119343922506 166298908410 187856174315 198906537510 225427409178 298359806265 338141113767 375712348630 563568522945 596719612530 676282227534 1014423341301 1127137045890 1690705568835 2028846682602 3381411137670 5072116706505 10144233413010