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1464606461040 = 243559981101741
BaseRepresentation
bin10101010100000001010…
…110010000110001110000
312012000101221110001211020
4111110001112100301300
5142444003223223130
63040455251215440
7210546212340222
oct25240126206160
95160357401736
101464606461040
1151515518a748
121b7a258a7580
13a815b804148
1450c5cb9c412
152816eecee10
hex15501590c70

1464606461040 has 80 divisors (see below), whose sum is σ = 4540400351136. Its totient is φ = 390551372800.

The previous prime is 1464606460981. The next prime is 1464606461051. The reversal of 1464606461040 is 401646064641.

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

It is a super-2 number, since 2×14646064610402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1464606460983 and 1464606461001.

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, 14344570 + ... + 14446310.

Almost surely, 21464606461040 is an apocalyptic number.

1464606461040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464606461040 is an abundant number, since it is smaller than the sum of its proper divisors (3075793890096).

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

1464606461040 is a wasteful number, since it uses less digits than its factorization.

1464606461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161738 (or 161732 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 1464606461040 in words is "one trillion, four hundred sixty-four billion, six hundred six million, four hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 59981 101741 119962 179943 203482 239924 299905 305223 359886 406964 479848 508705 599810 610446 719772 813928 899715 959696 1017410 1199620 1220892 1439544 1526115 1627856 1799430 2034820 2399240 2441784 2879088 3052230 3598860 4069640 4798480 4883568 6104460 7197720 8139280 12208920 14395440 24417840 6102526921 12205053842 18307580763 24410107684 30512634605 36615161526 48820215368 61025269210 73230323052 91537903815 97640430736 122050538420 146460646104 183075807630 244101076840 292921292208 366151615260 488202153680 732303230520 1464606461040