Search a number
-
+
40153112520 = 23358319121107
BaseRepresentation
bin100101011001010011…
…111101111111001000
310211122100011110101120
4211121103331333020
51124213144100040
630240204315240
72621013552663
oct453123757710
9124570143346
1040153112520
1116035426814
127947242b20
133a2ba010a1
141d2ca666da
1510a017d7d0
hex9594fdfc8

40153112520 has 128 divisors (see below), whose sum is σ = 122554736640. Its totient is φ = 10522607360.

The previous prime is 40153112497. The next prime is 40153112561. The reversal of 40153112520 is 2521135104.

It is a happy number.

It is a super-2 number, since 2×401531125202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891807 + ... + 1912913.

It is an arithmetic number, because the mean of its divisors is an integer number (957458880).

Almost surely, 240153112520 is an apocalyptic number.

40153112520 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 40153112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61277368320).

40153112520 is an abundant number, since it is smaller than the sum of its proper divisors (82401624120).

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

40153112520 is a wasteful number, since it uses less digits than its factorization.

40153112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21391 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 40153112520 its reverse (2521135104), we get a palindrome (42674247624).

The spelling of 40153112520 in words is "forty billion, one hundred fifty-three million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 191 249 332 382 415 498 573 664 764 830 955 996 1146 1245 1528 1660 1910 1992 2292 2490 2865 3320 3820 4584 4980 5730 7640 9960 11460 15853 21107 22920 31706 42214 47559 63321 63412 79265 84428 95118 105535 126642 126824 158530 168856 190236 211070 237795 253284 316605 317060 380472 422140 475590 506568 633210 634120 844280 951180 1266420 1751881 1902360 2532840 3503762 4031437 5255643 7007524 8062874 8759405 10511286 12094311 14015048 16125748 17518810 20157185 21022572 24188622 26278215 32251496 35037620 40314370 42045144 48377244 52556430 60471555 70075240 80628740 96754488 105112860 120943110 161257480 210225720 241886220 334609271 483772440 669218542 1003827813 1338437084 1673046355 2007655626 2676874168 3346092710 4015311252 5019139065 6692185420 8030622504 10038278130 13384370840 20076556260 40153112520