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40133556343420 = 22529531999653117
BaseRepresentation
bin10010010000000010100100…
…10111101001001001111100
312021002201201112202012222021
421020001102113221021330
520230022010410442140
6221205033512125524
711311360640165161
oct1110012227511174
9167081645665867
1040133556343420
11118736003046a1
12460219a9968a4
1319517691a53c7
149ca69000c068
15498e74dbbb4a
hex2480525e927c

40133556343420 has 96 divisors (see below), whose sum is σ = 88876297440000. Its totient is φ = 15199775345664.

The previous prime is 40133556343399. The next prime is 40133556343427. The reversal of 40133556343420 is 2434365533104.

It is a super-2 number, since 2×401335563434202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133556343427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61122702 + ... + 61775818.

It is an arithmetic number, because the mean of its divisors is an integer number (925794765000).

Almost surely, 240133556343420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133556343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44438148720000).

40133556343420 is an abundant number, since it is smaller than the sum of its proper divisors (48742741096580).

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

40133556343420 is a wasteful number, since it uses less digits than its factorization.

40133556343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655207 (or 655205 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

The spelling of 40133556343420 in words is "forty trillion, one hundred thirty-three billion, five hundred fifty-six million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 1999 3074 3998 6148 7685 7996 9995 15370 19990 30740 39980 57971 105947 115942 211894 231884 289855 423788 529735 579710 653117 1059470 1159420 1306234 2118940 2612468 3072463 3265585 6144926 6531170 12289852 13062340 15362315 18940393 30724630 34615201 37880786 61449260 69230402 75761572 94701965 138460804 173076005 189403930 346152010 378807860 692304020 1003840829 1305580883 2007681658 2611161766 4015363316 5019204145 5222323532 6527904415 10038408290 13055808830 20076816580 26111617660 37861845607 69195786799 75723691214 138391573598 151447382428 189309228035 276783147196 345978933995 378618456070 691957867990 757236912140 1383915735980 2006677817171 4013355634342 8026711268684 10033389085855 20066778171710 40133556343420