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40233003432402 = 231137431831209257
BaseRepresentation
bin10010010010111011110011…
…11000001011100111010010
312021110020102011222202220010
421021131321320023213102
520233134142334314102
6221322441524255350
711321511221406204
oct1111357170134722
9167406364882803
1040233003432402
11119017a2624540
124619513541556
13195ac57295661
149d1405862774
1549b8457dad6c
hex249779e0b9d2

40233003432402 has 128 divisors (see below), whose sum is σ = 92300978423808. Its totient is φ = 11580059635200.

The previous prime is 40233003432373. The next prime is 40233003432407. The reversal of 40233003432402 is 20423430033204.

It is a super-2 number, since 2×402330034324022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40233003432402.

It is not an unprimeable number, because it can be changed into a prime (40233003432407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192161358 + ... + 192370614.

It is an arithmetic number, because the mean of its divisors is an integer number (721101393936).

Almost surely, 240233003432402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40233003432402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46150489211904).

40233003432402 is an abundant number, since it is smaller than the sum of its proper divisors (52067974991406).

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

40233003432402 is a wasteful number, since it uses less digits than its factorization.

40233003432402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211184.

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 40233003432402 its reverse (20423430033204), we get a palindrome (60656433465606).

The spelling of 40233003432402 in words is "forty trillion, two hundred thirty-three billion, three million, four hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 814 946 1221 1419 1591 1831 2442 2838 3182 3662 4773 5493 9546 10986 17501 20141 35002 40282 52503 60423 67747 78733 105006 120846 135494 157466 203241 209257 236199 406482 418514 472398 627771 745217 866063 1255542 1490434 1732126 2235651 2301827 2598189 2913121 4471302 4603654 5196378 5826242 6905481 7742509 8739363 8998051 13810962 15485018 17478726 17996102 23227527 26994153 32044331 46455054 53988306 64088662 85167599 96132993 98978561 170335198 192265986 197957122 255502797 296935683 332927887 383149567 511005594 593871366 665855774 766299134 998783661 1149448701 1997567322 2298897402 3662206757 4214645237 7324413514 8429290474 10986620271 12643935711 14176533979 16475431381 21973240542 25287871422 28353067958 32950862762 42529601937 49426294143 85059203874 98852588286 155941873769 181229745191 311883747538 362459490382 467825621307 543689235573 609590961097 935651242614 1087378471146 1219181922194 1828772883291 3657545766582 6705500572067 13411001144134 20116501716201 40233003432402