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34452140020221 = 37113142411134421
BaseRepresentation
bin1111101010101100000111…
…00100010101000111111101
311111222120222212121021220010
413311112003210111013331
514003430440321121341
6201135032235013433
710154041101224160
oct765260344250775
9144876885537803
1034452140020221
11aa8308596aa20
123a4507bb9a279
13162ba90aa6691
148716c74c5ad7
153eb2a4d42716
hex1f55839151fd

34452140020221 has 64 divisors (see below), whose sum is σ = 59132536307712. Its totient is φ = 17315786880000.

The previous prime is 34452140020211. The next prime is 34452140020253. The reversal of 34452140020221 is 12202004125443.

It is a happy number.

It is not a de Polignac number, because 34452140020221 - 26 = 34452140020157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34452140020211) 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, 29802591 + ... + 30937011.

It is an arithmetic number, because the mean of its divisors is an integer number (923945879808).

Almost surely, 234452140020221 is an apocalyptic number.

34452140020221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34452140020221 is a deficient number, since it is larger than the sum of its proper divisors (24680396287491).

34452140020221 is a wasteful number, since it uses less digits than its factorization.

34452140020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138714.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 34452140020221 its reverse (12202004125443), we get a palindrome (46654144145664).

The spelling of 34452140020221 in words is "thirty-four trillion, four hundred fifty-two billion, one hundred forty million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 4241 7161 12723 29687 46651 89061 131471 139953 326557 394413 920297 979671 1134421 1446181 2760891 3403263 4338543 7940947 10123267 12478631 23822841 30369801 35167051 37435893 87350417 105501153 246169357 262051251 386837561 738508071 1160512683 2707862927 4811079461 8123588781 14433238383 33677556227 52921874071 101032668681 149143463291 158765622213 370453118497 447430389873 1044004243037 1111359355491 1640578096201 3132012729111 4921734288603 11484046673407 34452140020221