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41311824190 = 25713315924821
BaseRepresentation
bin100110011110011000…
…000110100100111110
310221122002111002222121
4212132120012210332
51134101311333230
630551155433154
72661513466060
oct463630064476
9127562432877
1041311824190
111657a4a1a6a
12800b2b57ba
133b84a9a4b0
141ddc8c9730
15111bc6077a
hex99e60693e

41311824190 has 128 divisors (see below), whose sum is σ = 96079011840. Its totient is φ = 12437798400.

The previous prime is 41311824181. The next prime is 41311824223. The reversal of 41311824190 is 9142811314.

41311824190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413118241902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1651980 + ... + 1676800.

It is an arithmetic number, because the mean of its divisors is an integer number (750617280).

Almost surely, 241311824190 is an apocalyptic number.

41311824190 is an abundant number, since it is smaller than the sum of its proper divisors (54767187650).

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

41311824190 is a wasteful number, since it uses less digits than its factorization.

41311824190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24938.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 41311824190 in words is "forty-one billion, three hundred eleven million, eight hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 31 35 59 62 65 70 91 118 130 155 182 217 295 310 403 413 434 455 590 767 806 826 910 1085 1534 1829 2015 2065 2170 2821 3658 3835 4030 4130 5369 5642 7670 9145 10738 12803 14105 18290 23777 24821 25606 26845 28210 47554 49642 53690 64015 118885 124105 128030 166439 173747 237770 248210 322673 332878 347494 645346 769451 832195 868735 1464439 1538902 1613365 1664390 1737470 2258711 2928878 3226730 3847255 4517422 5386157 7322195 7694510 10002863 10251073 10772314 11293555 14644390 19037707 20005726 20502146 22587110 26930785 38075414 45397609 50014315 51255365 53861570 70020041 90795218 95188535 100028630 102510730 133263949 140040082 190377070 226988045 266527898 317783263 350100205 453976090 590168917 635566526 666319745 700200410 1180337834 1332639490 1588916315 2950844585 3177832630 4131182419 5901689170 8262364838 20655912095 41311824190