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1377410017344 = 263101175340519
BaseRepresentation
bin10100000010110100000…
…010001110100001000000
311212200100001221202221120
4110002310002032201000
5140031413431023334
62532435020552240
7201341334653214
oct24026402164100
94780301852846
101377410017344
1149117a055a39
121a2b4b9b2680
139cb73785a2a
144a94a36c944
1525c69d41949
hex140b408e840

1377410017344 has 112 divisors (see below), whose sum is σ = 3682670897280. Its totient is φ = 454320230400.

The previous prime is 1377410017337. The next prime is 1377410017351. The reversal of 1377410017344 is 4437100147731.

It is an interprime number because it is at equal distance from previous prime (1377410017337) and next prime (1377410017351).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1377410017296 and 1377410017305.

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, 33973917 + ... + 34014435.

Almost surely, 21377410017344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377410017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841335448640).

1377410017344 is an abundant number, since it is smaller than the sum of its proper divisors (2305260879936).

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

1377410017344 is a wasteful number, since it uses less digits than its factorization.

1377410017344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42388 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 1377410017344 in words is "one trillion, three hundred seventy-seven billion, four hundred ten million, seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 1753 2424 3232 3506 4848 5259 6464 7012 9696 10518 14024 19392 21036 28048 40519 42072 56096 81038 84144 112192 121557 162076 168288 177053 243114 324152 336576 354106 486228 531159 648304 708212 972456 1062318 1296608 1416424 1944912 2124636 2593216 2832848 3889824 4092419 4249272 5665696 7779648 8184838 8498544 11331392 12277257 16369676 16997088 24554514 32739352 33994176 49109028 65478704 71029807 98218056 130957408 142059614 196436112 213089421 261914816 284119228 392872224 426178842 568238456 785744448 852357684 1136476912 1704715368 2272953824 3409430736 4545907648 6818861472 7174010507 13637722944 14348021014 21522031521 28696042028 43044063042 57392084056 86088126084 114784168112 172176252168 229568336224 344352504336 459136672448 688705008672 1377410017344