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20134104144 = 2437118365633
BaseRepresentation
bin10010110000000101…
…100000110001010000
31220222011212110112220
4102300011200301100
5312213312313034
613125515421040
71311641030040
oct226005406120
956864773486
1020134104144
1185a21a44a0
123a9aa54780
131b8b3cc4bb
14d90033720
157cc90a749
hex4b0160c50

20134104144 has 160 divisors (see below), whose sum is σ = 65629799424. Its totient is φ = 5166551040.

The previous prime is 20134104103. The next prime is 20134104163. The reversal of 20134104144 is 44140143102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273952 + ... + 339584.

Almost surely, 220134104144 is an apocalyptic number.

20134104144 is a gapful number since it is divisible by the number (24) 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 20134104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32814899712).

20134104144 is an abundant number, since it is smaller than the sum of its proper divisors (45495695280).

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

20134104144 is a wasteful number, since it uses less digits than its factorization.

20134104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65745 (or 65739 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20134104144 its reverse (44140143102), we get a palindrome (64274247246).

The spelling of 20134104144 in words is "twenty billion, one hundred thirty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 83 84 88 112 132 154 166 168 176 231 249 264 308 332 336 462 498 528 581 616 664 913 924 996 1162 1232 1328 1743 1826 1848 1992 2324 2739 3486 3652 3696 3984 4648 5478 6391 6972 7304 9296 10956 12782 13944 14608 19173 21912 25564 27888 38346 43824 51128 65633 76692 102256 131266 153384 196899 262532 306768 393798 459431 525064 721963 787596 918862 1050128 1378293 1443926 1575192 1837724 2165889 2756586 2887852 3150384 3675448 4331778 5053741 5447539 5513172 5775704 7350896 8663556 10107482 10895078 11026344 11551408 15161223 16342617 17327112 20214964 21790156 22052688 30322446 32685234 34654224 38132773 40429928 43580312 59922929 60644892 65370468 76265546 80859856 87160624 114398319 119845858 121289784 130740936 152531092 179768787 228796638 239691716 242579568 261481872 305062184 359537574 419460503 457593276 479383432 610124368 719075148 838921006 915186552 958766864 1258381509 1438150296 1677842012 1830373104 2516763018 2876300592 3355684024 5033526036 6711368048 10067052072 20134104144