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1408891102976 = 28723311102681
BaseRepresentation
bin10100100000001000011…
…101000010011100000000
311222200121001011121212002
4110200020131002130000
5141040402110243401
62555122521523132
7203534430532040
oct24401035023400
94880531147762
101408891102976
114a3564330585
121a90769434a8
13a2b1c949b56
144c295395720
15269ad9caa6b
hex14808742700

1408891102976 has 144 divisors (see below), whose sum is σ = 3461962764288. Its totient is φ = 558926438400.

The previous prime is 1408891102963. The next prime is 1408891102991. The reversal of 1408891102976 is 6792011988041.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 726356 + ... + 1829036.

Almost surely, 21408891102976 is an apocalyptic number.

1408891102976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408891102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730981382144).

1408891102976 is an abundant number, since it is smaller than the sum of its proper divisors (2053071661312).

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

1408891102976 is a wasteful number, since it uses less digits than its factorization.

1408891102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102758 (or 1102744 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 56.

The spelling of 1408891102976 in words is "one trillion, four hundred eight billion, eight hundred ninety-one million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 256 322 368 434 448 496 644 713 736 868 896 992 1288 1426 1472 1736 1792 1984 2576 2852 2944 3472 3968 4991 5152 5704 5888 6944 7936 9982 10304 11408 13888 19964 20608 22816 27776 39928 41216 45632 55552 79856 91264 159712 182528 319424 638848 1102681 1277696 2205362 4410724 7718767 8821448 15437534 17642896 25361663 30875068 34183111 35285792 50723326 61750136 68366222 70571584 101446652 123500272 136732444 141143168 177531641 202893304 239281777 247000544 273464888 282286336 355063282 405786608 478563554 494001088 546929776 710126564 786211553 811573216 957127108 988002176 1093859552 1420253128 1572423106 1623146432 1914254216 1976004352 2187719104 2840506256 3144846212 3246292864 3828508432 4375438208 5503480871 5681012512 6289692424 6492585728 7657016864 8750876416 11006961742 11362025024 12579384848 15314033728 22013923484 22724050048 25158769696 30628067456 44027846968 45448100096 50317539392 61256134912 88055693936 100635078784 176111387872 201270157568 352222775744 704445551488 1408891102976