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40231231220432 = 24719311627374837
BaseRepresentation
bin10010010010111000100000…
…01111101110101011010000
312021110001211200021002002202
421021130100033232223100
520233122030143023212
6221321550015502332
711321416262015360
oct1111342017565320
9167401750232082
1040231231220432
1111900a7321a44a
1246190b9b279a8
13195aa34084815
149d12b83409a0
1549b78ee210c2
hex2497103eead0

40231231220432 has 160 divisors (see below), whose sum is σ = 96856699822080. Its totient is φ = 15797808069120.

The previous prime is 40231231220429. The next prime is 40231231220441. The reversal of 40231231220432 is 23402213213204.

It is a junction number, because it is equal to n+sod(n) for n = 40231231220395 and 40231231220404.

It is a congruent number.

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, 107142518 + ... + 107517354.

It is an arithmetic number, because the mean of its divisors is an integer number (605354373888).

Almost surely, 240231231220432 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 40231231220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48428349911040).

40231231220432 is an abundant number, since it is smaller than the sum of its proper divisors (56625468601648).

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

40231231220432 is a wasteful number, since it uses less digits than its factorization.

40231231220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376529 (or 376523 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 40231231220432 its reverse (23402213213204), we get a palindrome (63633444433636).

The spelling of 40231231220432 in words is "forty trillion, two hundred thirty-one billion, two hundred thirty-one million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1627 1736 2128 2356 3254 3472 4123 4712 6508 8246 9424 11389 13016 16492 22778 26032 30913 32984 45556 50437 61826 65968 91112 100874 123652 182224 201748 216391 247304 353059 374837 403496 432782 494608 706118 749674 806992 865564 958303 1412236 1499348 1731128 1916606 2623859 2824472 2998696 3462256 3833212 5247718 5648944 5997392 6708121 7121903 7666424 10495436 11619947 13416242 14243806 15332848 20990872 23239894 26832484 28487612 41981744 46479788 49853321 53664968 56975224 81339629 92959576 99706642 107329936 113950448 162679258 185919152 199413284 220778993 325358516 398826568 441557986 609859799 650717032 797653136 883115972 1219719598 1301434064 1545452951 1766231944 2439439196 3090905902 3532463888 4269018593 4878878392 6181811804 8538037186 9757756784 11587336181 12363623608 17076074372 18905653769 23174672362 24727247216 34152148744 37811307538 46349344724 68304297488 75622615076 81111353267 92698689448 132339576383 151245230152 162222706534 185397378896 264679152766 302490460304 324445413068 359207421611 529358305532 648890826136 718414843222 1058716611064 1297781652272 1436829686444 2117433222128 2514451951277 2873659372888 5028903902554 5747318745776 10057807805108 20115615610216 40231231220432