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380374032144 = 243294214331499
BaseRepresentation
bin1011000100100000000…
…11110001111100010000
31100100210220211220101110
411202100003301330100
522213001223012034
6450424051333320
736324010632561
oct5422003617420
91310726756343
10380374032144
11137352252257
12618765b1240
1329b3b5b2402
14145a5842168
159d63911de9
hex58900f1f10

380374032144 has 160 divisors (see below), whose sum is σ = 1021965840000. Its totient is φ = 121765109760.

The previous prime is 380374032127. The next prime is 380374032151. The reversal of 380374032144 is 441230473083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253751107 + ... + 253752605.

It is an arithmetic number, because the mean of its divisors is an integer number (6387286500).

Almost surely, 2380374032144 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 380374032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510982920000).

380374032144 is an abundant number, since it is smaller than the sum of its proper divisors (641591807856).

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

380374032144 is a wasteful number, since it uses less digits than its factorization.

380374032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 380374032144 in words is "three hundred eighty billion, three hundred seventy-four million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 421 433 464 696 842 866 1263 1299 1392 1499 1684 1732 2526 2598 2998 3368 3464 4497 5052 5196 5996 6736 6928 8994 10104 10392 11992 12209 12557 17988 20208 20784 23984 24418 25114 35976 36627 37671 43471 48836 50228 71952 73254 75342 86942 97672 100456 130413 146508 150684 173884 182293 195344 200912 260826 293016 301368 347768 364586 521652 546879 586032 602736 631079 649067 695536 729172 1043304 1093758 1262158 1298134 1458344 1893237 1947201 2086608 2187516 2524316 2596268 2916688 3786474 3894402 4375032 5048632 5192536 5286497 7572948 7788804 8750064 10097264 10385072 10572994 15145896 15577608 15859491 18301291 18822943 21145988 30291792 31155216 31718982 36602582 37645886 42291976 54903873 56468829 63437964 73205164 75291772 84583952 109807746 112937658 126875928 146410328 150583544 219615492 225875316 253751856 273257207 292820656 301167088 439230984 451750632 546514414 819771621 878461968 903501264 1093028828 1639543242 2186057656 3279086484 4372115312 6558172968 7924459003 13116345936 15848918006 23773377009 31697836012 47546754018 63395672024 95093508036 126791344048 190187016072 380374032144