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40433014020432 = 24311349857256033
BaseRepresentation
bin10010011000110000010110…
…11100000001100101010000
312022011100200021012101102210
421030120023130001211100
520244423303042123212
6221554400433312120
711342121531352125
oct1114301334014520
9168140607171383
1040433014020432
11119795aa367680
124650232705640
131973a80850c27
149dad7b0dc74c
154a1b4eb5253c
hex24c60b701950

40433014020432 has 160 divisors (see below), whose sum is σ = 114407871177600. Its totient is φ = 12203017666560.

The previous prime is 40433014020419. The next prime is 40433014020461. The reversal of 40433014020432 is 23402041033404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40433014020432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157793088 + ... + 158049120.

It is an arithmetic number, because the mean of its divisors is an integer number (715049194860).

Almost surely, 240433014020432 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 40433014020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57203935588800).

40433014020432 is an abundant number, since it is smaller than the sum of its proper divisors (73974857157168).

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

40433014020432 is a wasteful number, since it uses less digits than its factorization.

40433014020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257261 (or 257255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 40433014020432 its reverse (23402041033404), we get a palindrome (63835055053836).

The spelling of 40433014020432 in words is "forty trillion, four hundred thirty-three billion, fourteen million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 349 528 698 857 1047 1396 1714 2094 2571 2792 3428 3839 4188 5142 5584 6856 7678 8376 9427 10284 11517 13712 15356 16752 18854 20568 23034 28281 30712 37708 41136 46068 56562 61424 75416 92136 113124 150832 184272 226248 256033 299093 452496 512066 598186 768099 897279 1024132 1196372 1536198 1794558 2048264 2392744 2816363 3072396 3290023 3589116 4096528 4785488 5632726 6144792 6580046 7178232 8449089 9870069 11265452 12289584 13160092 14356464 16898178 19740138 22530904 26320184 33796356 39480276 45061808 52640368 67592712 78960552 89355517 135185424 157921104 178711034 219420281 268066551 357422068 438840562 536133102 658260843 714844136 877681124 982910687 1072266204 1316521686 1429688272 1755362248 1965821374 2144532408 2413623091 2633043372 2948732061 3510724496 3931642748 4289064816 4827246182 5266086744 5897464122 7240869273 7863285496 9654492364 10532173488 11794928244 14481738546 15726570992 19308984728 23589856488 28963477092 38617969456 47179712976 57926954184 76577678069 115853908368 153155356138 229733034207 306310712276 459466068414 612621424552 842354458759 918932136828 1225242849104 1684708917518 1837864273656 2527063376277 3369417835036 3675728547312 5054126752554 6738835670072 10108253505108 13477671340144 20216507010216 40433014020432