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40077677040 = 2435827201923
BaseRepresentation
bin100101010100110100…
…001101000111110000
310211110002012221100220
4211110310031013300
51124034341131130
630224511413040
72616106430322
oct452464150760
9124402187326
1040077677040
1115aa6892a45
127925b24180
133a191ab4cb
141d22a2b612
15109872c410
hex954d0d1f0

40077677040 has 80 divisors (see below), whose sum is σ = 124391645568. Its totient is φ = 10674404608.

The previous prime is 40077677033. The next prime is 40077677063. The reversal of 40077677040 is 4077677004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40077676983 and 40077677001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97519 + ... + 299441.

Almost surely, 240077677040 is an apocalyptic number.

40077677040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40077677040 is an abundant number, since it is smaller than the sum of its proper divisors (84313968528).

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

40077677040 is a wasteful number, since it uses less digits than its factorization.

40077677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202766 (or 202760 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The spelling of 40077677040 in words is "forty billion, seventy-seven million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 827 1654 2481 3308 4135 4962 6616 8270 9924 12405 13232 16540 19848 24810 33080 39696 49620 66160 99240 198480 201923 403846 605769 807692 1009615 1211538 1615384 2019230 2423076 3028845 3230768 4038460 4846152 6057690 8076920 9692304 12115380 16153840 24230760 48461520 166990321 333980642 500970963 667961284 834951605 1001941926 1335922568 1669903210 2003883852 2504854815 2671845136 3339806420 4007767704 5009709630 6679612840 8015535408 10019419260 13359225680 20038838520 40077677040