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40531405131 = 3371943713697
BaseRepresentation
bin100101101111110111…
…000010100101001011
310212121200222201022000
4211233313002211023
51131002014431011
630341520402043
72633256154620
oct455767024513
9125550881260
1040531405131
1116209a15638
127a31a76323
133a8c1b2079
141d66dba347
1510c34a5356
hex96fdc294b

40531405131 has 128 divisors (see below), whose sum is σ = 74977689600. Its totient is φ = 21123970560.

The previous prime is 40531405121. The next prime is 40531405157. The reversal of 40531405131 is 13150413504.

It is a happy number.

40531405131 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 140 + 513 + 1 = 666.

It is not a de Polignac number, because 40531405131 - 25 = 40531405099 is a prime.

It is a super-2 number, since 2×405314051312 (a number of 22 digits) contains 22 as substring.

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 = 40531405095 and 40531405104.

It is not an unprimeable number, because it can be changed into a prime (40531405121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10961475 + ... + 10965171.

It is an arithmetic number, because the mean of its divisors is an integer number (585763200).

Almost surely, 240531405131 is an apocalyptic number.

40531405131 is a deficient number, since it is larger than the sum of its proper divisors (34446284469).

40531405131 is a wasteful number, since it uses less digits than its factorization.

40531405131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 40531405131 its reverse (13150413504), we get a palindrome (53681818635).

The spelling of 40531405131 in words is "forty billion, five hundred thirty-one million, four hundred five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 43 57 63 71 129 133 171 189 213 301 387 399 497 513 639 817 903 1161 1197 1349 1491 1917 2451 2709 3053 3591 3697 4047 4473 5719 7353 8127 9159 9443 11091 12141 13419 17157 21371 22059 25879 27477 28329 33273 36423 51471 58007 64113 70243 77637 82431 84987 99819 154413 158971 174021 192339 210729 232911 254961 262487 406049 476913 491701 522063 577017 632187 698733 787461 1112797 1218147 1430739 1475103 1566189 1837409 1896561 2362383 3020449 3338391 3654441 4292217 4425309 4987253 5512227 7087149 9061347 10015173 10963323 11286941 13275927 14961759 16536681 21143143 27184041 30045519 33860823 34910771 44885277 49610043 63429429 79008587 81552123 101582469 104732313 134655831 190288287 214451879 237025761 304747407 314196939 570864861 643355637 711077283 942590817 1501163153 1930066911 2133231849 4503489459 5790200733 13510468377 40531405131