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1377514224064 = 26114167712303
BaseRepresentation
bin10100000010111010001…
…111101111100111000000
311212200121100001000200201
4110002322033233213000
5140032122120132224
62532453222254544
7201344041465666
oct24027217574700
94780540030621
101377514224064
1149122295aaa0
121a2b7a887454
139cb8c240204
144a95a136c36
1525c74077a44
hex140ba3ef9c0

1377514224064 has 112 divisors (see below), whose sum is σ = 3100334501376. Its totient is φ = 601752729600.

The previous prime is 1377514224043. The next prime is 1377514224133. The reversal of 1377514224064 is 4604224157731.

It is a happy number.

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, 1577737 + ... + 2290039.

It is an arithmetic number, because the mean of its divisors is an integer number (27681558048).

Almost surely, 21377514224064 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 1377514224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550167250688).

1377514224064 is an abundant number, since it is smaller than the sum of its proper divisors (1722820277312).

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

1377514224064 is a wasteful number, since it uses less digits than its factorization.

1377514224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712434 (or 712424 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 1377514224064 in words is "one trillion, three hundred seventy-seven billion, five hundred fourteen million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 67 82 88 134 164 176 268 328 352 451 536 656 704 737 902 1072 1312 1474 1804 2144 2624 2747 2948 3608 4288 5494 5896 7216 10988 11792 14432 21976 23584 28864 30217 43952 47168 60434 87904 120868 175808 241736 483472 712303 966944 1424606 1933888 2849212 5698424 7835333 11396848 15670666 22793696 29204423 31341332 45587392 47724301 58408846 62682664 95448602 116817692 125365328 190897204 233635384 250730656 321248653 381794408 467270768 501461312 524967311 642497306 763588816 934541536 1049934622 1284994612 1527177632 1869083072 1956696341 2099869244 2569989224 3054355264 3913392682 4199738488 5139978448 7826785364 8399476976 10279956896 15653570728 16798953952 20559913792 21523659751 31307141456 33597907904 43047319502 62614282912 86094639004 125228565824 172189278008 344378556016 688757112032 1377514224064