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41014551960 = 23335233162989
BaseRepresentation
bin100110001100101010…
…000110010110011000
310220212101010010011000
4212030222012112120
51132444211130320
630501500105000
72651243640144
oct461452062630
9126771103130
1041014551960
1116437710a38
127b47835160
133b38316175
141db1226224
151100adec90
hex98ca86598

41014551960 has 128 divisors (see below), whose sum is σ = 137302776000. Its totient is φ = 10890206208.

The previous prime is 41014551889. The next prime is 41014551961. The reversal of 41014551960 is 6915541014.

41014551960 is a `hidden beast` number, since 4 + 1 + 0 + 14 + 551 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41014551961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170146 + ... + 333134.

Almost surely, 241014551960 is an apocalyptic number.

41014551960 is a gapful number since it is divisible by the number (40) 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 41014551960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68651388000).

41014551960 is an abundant number, since it is smaller than the sum of its proper divisors (96288224040).

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

41014551960 is a wasteful number, since it uses less digits than its factorization.

41014551960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163242 (or 163232 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 41014551960 in words is "forty-one billion, fourteen million, five hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 233 270 360 466 540 699 932 1080 1165 1398 1864 2097 2330 2796 3495 4194 4660 5592 6291 6990 8388 9320 10485 12582 13980 16776 20970 25164 27960 31455 41940 50328 62910 83880 125820 162989 251640 325978 488967 651956 814945 977934 1303912 1466901 1629890 1955868 2444835 2933802 3259780 3911736 4400703 4889670 5867604 6519560 7334505 8801406 9779340 11735208 14669010 17602812 19558680 22003515 29338020 35205624 37976437 44007030 58676040 75952874 88014060 113929311 151905748 176028120 189882185 227858622 303811496 341787933 379764370 455717244 569646555 683575866 759528740 911434488 1025363799 1139293110 1367151732 1519057480 1708939665 2050727598 2278586220 2734303464 3417879330 4101455196 4557172440 5126818995 6835758660 8202910392 10253637990 13671517320 20507275980 41014551960