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11435606514444 = 2237193127455949
BaseRepresentation
bin1010011001101000111101…
…0000111001101100001100
31111111020022002011101122110
42212122033100321230030
52444330110231430234
640153240050544020
72260123663361340
oct246321720715414
944436262141573
1011435606514444
1137098a482a652
121348369598010
1364c4b0822b48
142b76b4605620
1514c6ededb1e9
hexa668f439b0c

11435606514444 has 144 divisors (see below), whose sum is σ = 33168837408000. Its totient is φ = 2995501668480.

The previous prime is 11435606514403. The next prime is 11435606514473. The reversal of 11435606514444 is 44441560653411.

It is a junction number, because it is equal to n+sod(n) for n = 11435606514393 and 11435606514402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194219 + ... + 5261730.

Almost surely, 211435606514444 is an apocalyptic number.

11435606514444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11435606514444 is an abundant number, since it is smaller than the sum of its proper divisors (21733230893556).

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

11435606514444 is a wasteful number, since it uses less digits than its factorization.

11435606514444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456044 (or 7456011 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 11435606514444 in words is "eleven trillion, four hundred thirty-five billion, six hundred six million, five hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 961 1178 1302 1596 1767 1922 2356 2604 2883 3534 3844 4123 5766 6727 7068 8246 11532 12369 13454 16492 18259 20181 24738 26908 36518 40362 49476 54777 73036 80724 109554 127813 219108 255626 383439 511252 766878 1533756 7455949 14911898 22367847 29823796 44735694 52191643 89471388 104383286 141663031 156574929 208766572 231134419 283326062 313149858 424989093 462268838 566652124 626299716 693403257 849978186 924537676 991641217 1386806514 1617940933 1699956372 1983282434 2773613028 2974923651 3235881866 3966564868 4391553961 4853822799 5949847302 6471763732 7165166989 8783107922 9707645598 11899694604 13174661883 14330333978 17566215844 19415291196 21495500967 26349323766 28660667956 30740877727 42991001934 50156168923 52698647532 61481755454 85982003868 92222633181 100312337846 122963510908 136138172791 150468506769 184445266362 200624675692 272276345582 300937013538 368890532724 408414518373 544552691164 601874027076 816829036746 952967209537 1633658073492 1905934419074 2858901628611 3811868838148 5717803257222 11435606514444