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2140434031344 = 243773541161303
BaseRepresentation
bin11111001001011011110…
…011110110001011110000
321120121211112020210210020
4133021123303312023300
5240032102103000334
64315145105403440
7310432644034620
oct37113363661360
97517745223706
102140434031344
11755831234114
122a69b7039580
13126ac402183b
14758519c0880
153aa26d85e49
hex1f25bcf62f0

2140434031344 has 160 divisors (see below), whose sum is σ = 6417824185344. Its totient is φ = 602056488960.

The previous prime is 2140434031331. The next prime is 2140434031361. The reversal of 2140434031344 is 4431304340412.

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, 13188997 + ... + 13350299.

Almost surely, 22140434031344 is an apocalyptic number.

2140434031344 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 2140434031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208912092672).

2140434031344 is an abundant number, since it is smaller than the sum of its proper divisors (4277390154000).

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

2140434031344 is a wasteful number, since it uses less digits than its factorization.

2140434031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161935 (or 161929 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2140434031344 its reverse (4431304340412), we get a palindrome (6571738371756).

The spelling of 2140434031344 in words is "two trillion, one hundred forty billion, four hundred thirty-four million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 541 584 876 1022 1082 1168 1533 1623 1752 2044 2164 3066 3246 3504 3787 4088 4328 6132 6492 7574 8176 8656 11361 12264 12984 15148 22722 24528 25968 30296 39493 45444 60592 78986 90888 118479 157972 161303 181776 236958 276451 315944 322606 473916 483909 552902 631888 645212 829353 947832 967818 1105804 1129121 1290424 1658706 1895664 1935636 2211608 2258242 2580848 3317412 3387363 3871272 4423216 4516484 6634824 6774726 7742544 9032968 11775119 13269648 13549452 18065936 23550238 27098904 35325357 47100476 54197808 70650714 82425833 87264923 94200952 141301428 164851666 174529846 188401904 247277499 261794769 282602856 329703332 349059692 494554998 523589538 565205712 610854461 659406664 698119384 989109996 1047179076 1221708922 1318813328 1396238768 1832563383 1978219992 2094358152 2443417844 3665126766 3956439984 4188716304 4886835688 6370339379 7330253532 9773671376 12740678758 14660507064 19111018137 25481357516 29321014128 38222036274 44592375653 50962715032 76444072548 89184751306 101925430064 133777126959 152888145096 178369502612 267554253918 305776290192 356739005224 535108507836 713478010448 1070217015672 2140434031344