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40523264232 = 233113119992477
BaseRepresentation
bin100101101111010111…
…111111000011101000
310212121010200010002020
4211233113333003220
51130442423423412
630341030104440
72633130030333
oct455727770350
9125533603066
1040523264232
1116205365220
127a2b1ab120
133a8a5c1779
141d65c9b61a
1510c28e818c
hex96f5ff0e8

40523264232 has 128 divisors (see below), whose sum is σ = 114186240000. Its totient is φ = 11872915200.

The previous prime is 40523264189. The next prime is 40523264269. The reversal of 40523264232 is 23246232504.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40523264193 and 40523264202.

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, 16358578 + ... + 16361054.

It is an arithmetic number, because the mean of its divisors is an integer number (892080000).

Almost surely, 240523264232 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 40523264232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57093120000).

40523264232 is an abundant number, since it is smaller than the sum of its proper divisors (73662975768).

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

40523264232 is a wasteful number, since it uses less digits than its factorization.

40523264232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 40523264232 its reverse (23246232504), we get a palindrome (63769496736).

The spelling of 40523264232 in words is "forty billion, five hundred twenty-three million, two hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1999 2046 2477 2728 3998 4092 4954 5997 7431 7996 8184 9908 11994 14862 15992 19816 21989 23988 27247 29724 43978 47976 54494 59448 61969 65967 76787 81741 87956 108988 123938 131934 153574 163482 175912 185907 217976 230361 247876 263868 307148 326964 371814 460722 495752 527736 614296 653928 681659 743628 844657 921444 1363318 1487256 1689314 1842888 2044977 2533971 2726636 3378628 4089954 4951523 5067942 5453272 6757256 8179908 9903046 10135884 14854569 16359816 19806092 20271768 29709138 39612184 54466753 59418276 108933506 118836552 153497213 163400259 217867012 306994426 326800518 435734024 460491639 613988852 653601036 920983278 1227977704 1307202072 1688469343 1841966556 3376938686 3683933112 5065408029 6753877372 10130816058 13507754744 20261632116 40523264232