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40135231224 = 23321173694189
BaseRepresentation
bin100101011000001111…
…110000011011111000
310211121002111222212100
4211120033300123320
51124144104344344
630234325143400
72620405556634
oct453017603370
9124532458770
1040135231224
1116026323290
12794125ab60
133a280b013a
141d2a52ddc4
15109d7ea569
hex9583f06f8

40135231224 has 96 divisors (see below), whose sum is σ = 120205940400. Its totient is φ = 11995568640.

The previous prime is 40135231211. The next prime is 40135231231. The reversal of 40135231224 is 42213253104.

40135231224 is a `hidden beast` number, since 4 + 0 + 13 + 523 + 122 + 4 = 666.

40135231224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401352312242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289279 + ... + 404910.

Almost surely, 240135231224 is an apocalyptic number.

40135231224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40135231224 is an abundant number, since it is smaller than the sum of its proper divisors (80070709176).

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

40135231224 is a wasteful number, since it uses less digits than its factorization.

40135231224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694285 (or 694278 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40135231224 its reverse (42213253104), we get a palindrome (82348484328).

The spelling of 40135231224 in words is "forty billion, one hundred thirty-five million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1752 2409 2628 3212 4818 5256 6424 7227 9636 14454 19272 28908 57816 694189 1388378 2082567 2776756 4165134 5553512 6247701 7636079 8330268 12495402 15272158 16660536 22908237 24990804 30544316 45816474 49981608 50675797 61088632 68724711 91632948 101351594 137449422 152027391 183265896 202703188 274898844 304054782 405406376 456082173 549797688 557433767 608109564 912164346 1114867534 1216219128 1672301301 1824328692 2229735068 3344602602 3648657384 4459470136 5016903903 6689205204 10033807806 13378410408 20067615612 40135231224