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140134101202044 = 22343173473931969
BaseRepresentation
bin11111110111001110000011…
…010100101011010001111100
3200101011200121110022102210000
4133313032003110223101330
5121331424114401431134
61214012414541114300
741342232443506515
oct3767160324532174
9611150543272700
10140134101202044
11407185a1927154
1213872b16b58990
13602678717b5b1
142686753331a0c
151130322415e99
hex7f738352b47c

140134101202044 has 120 divisors (see below), whose sum is σ = 368553016283760. Its totient is φ = 46429810550784.

The previous prime is 140134101201971. The next prime is 140134101202057. The reversal of 140134101202044 is 440202101431041.

140134101202044 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 410 + 1 + 202 + 0 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140134101201999 and 140134101202017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33673692 + ... + 37605660.

It is an arithmetic number, because the mean of its divisors is an integer number (3071275135698).

Almost surely, 2140134101202044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140134101202044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184276508141880).

140134101202044 is an abundant number, since it is smaller than the sum of its proper divisors (228418915081716).

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

140134101202044 is a wasteful number, since it uses less digits than its factorization.

140134101202044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932649 (or 3932638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140134101202044 its reverse (440202101431041), we get a palindrome (580336202633085).

The spelling of 140134101202044 in words is "one hundred forty trillion, one hundred thirty-four billion, one hundred one million, two hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 317 324 347 634 694 951 1041 1268 1388 1902 2082 2853 3123 3804 4164 5706 6246 8559 9369 11412 12492 17118 18738 25677 28107 34236 37476 51354 56214 102708 109999 112428 219998 329997 439996 659994 989991 1319988 1979982 2969973 3931969 3959964 5939946 7863938 8909919 11795907 11879892 15727876 17819838 23591814 35387721 35639676 47183628 70775442 106163163 141550884 212326326 318489489 424652652 636978978 1246434173 1273957956 1364393243 2492868346 2728786486 3739302519 4093179729 4985736692 5457572972 7478605038 8186359458 11217907557 12279539187 14957210076 16372718916 22435815114 24559078374 33653722671 36838617561 44871630228 49118156748 67307445342 73677235122 100961168013 110515852683 134614890684 147354470244 201922336026 221031705366 403844672052 432512658031 442063410732 865025316062 1297537974093 1730050632124 2595075948186 3892613922279 5190151896372 7785227844558 11677841766837 15570455689116 23355683533674 35033525300511 46711367067348 70067050601022 140134101202044