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113434044444 = 2232731127911353
BaseRepresentation
bin110100110100100110…
…0100010100000011100
3101211210102011111202100
41221221030202200130
53324303103410234
6124035541125100
711124000316560
oct1515114424034
9354712144670
10113434044444
114411a619576
1219b989b9790
13a909ab2876
1456c12d36a0
152e3d827399
hex1a6932281c

113434044444 has 144 divisors (see below), whose sum is σ = 338563563520. Its totient is φ = 31336968960.

The previous prime is 113434044443. The next prime is 113434044613. The reversal of 113434044444 is 444440434311.

113434044444 is a `hidden beast` number, since 1 + 134 + 3 + 40 + 44 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113434044399 and 113434044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434044443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9985872 + ... + 9997224.

Almost surely, 2113434044444 is an apocalyptic number.

113434044444 is a gapful number since it is divisible by the number (14) 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 113434044444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169281781760).

113434044444 is an abundant number, since it is smaller than the sum of its proper divisors (225129519076).

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

113434044444 is a wasteful number, since it uses less digits than its factorization.

113434044444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 113434044444 its reverse (444440434311), we get a palindrome (557874478755).

The spelling of 113434044444 in words is "one hundred thirteen billion, four hundred thirty-four million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1279 1302 1953 2558 2604 3837 3906 5116 7674 7812 8953 11353 11511 15348 17906 22706 23022 26859 34059 35812 39649 45412 46044 53718 68118 79298 79471 80577 102177 107436 118947 136236 158596 158942 161154 204354 237894 238413 277543 317884 322308 351943 356841 408708 475788 476826 555086 703886 713682 715239 832629 953652 1055829 1110172 1407772 1427364 1430478 1665258 2111658 2463601 2497887 2860956 3167487 3330516 4223316 4927202 4995774 6334974 7390803 9854404 9991548 12669948 14520487 14781606 22172409 29040974 29563212 43561461 44344818 58081948 87122922 88689636 101643409 130684383 174245844 203286818 261368766 304930227 406573636 450135097 522737532 609860454 900270194 914790681 1219720908 1350405291 1800540388 1829581362 2700810582 3150945679 3659162724 4051215873 5401621164 6301891358 8102431746 9452837037 12603782716 16204863492 18905674074 28358511111 37811348148 56717022222 113434044444