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378322114912 = 25722336011723
BaseRepresentation
bin1011000000101011100…
…00010101100101100000
31100011111220210201002221
411200111300111211200
522144300430134122
6445444311520424
736222113626600
oct5402560254540
91304456721087
10378322114912
11136499a75495
12613a3389114
13298a245b0c1
141444d110c00
159c936e66c7
hex5815c15960

378322114912 has 144 divisors (see below), whose sum is σ = 872097447312. Its totient is φ = 161080012800.

The previous prime is 378322114897. The next prime is 378322114931. The reversal of 378322114912 is 219411223873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219570883 + ... + 219572605.

It is an arithmetic number, because the mean of its divisors is an integer number (6056232273).

Almost surely, 2378322114912 is an apocalyptic number.

378322114912 is a gapful number since it is divisible by the number (32) 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 378322114912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436048723656).

378322114912 is an abundant number, since it is smaller than the sum of its proper divisors (493775332400).

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

378322114912 is a wasteful number, since it uses less digits than its factorization.

378322114912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2566 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The spelling of 378322114912 in words is "three hundred seventy-eight billion, three hundred twenty-two million, one hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 233 392 466 601 784 932 1202 1568 1631 1723 1864 2404 3262 3446 3728 4207 4808 6524 6892 7456 8414 9616 11417 12061 13048 13784 16828 19232 22834 24122 26096 27568 29449 33656 45668 48244 52192 55136 58898 67312 84427 91336 96488 117796 134624 140033 168854 182672 192976 235592 280066 337708 365344 385952 401459 471184 560132 675416 802918 942368 980231 1035523 1120264 1350832 1605836 1960462 2071046 2240528 2701664 2810213 3211672 3920924 4142092 4481056 5620426 6423344 6861617 7248661 7841848 8284184 11240852 12846688 13723234 14497322 15683696 16568368 19671491 22481704 27446468 28994644 31367392 33136736 39342982 44963408 50740627 54892936 57989288 78685964 89926816 101481254 109785872 115978576 157371928 202962508 219571744 231957152 241276859 314743856 405925016 482553718 629487712 811850032 965107436 1623700064 1688938013 1930214872 3377876026 3860429744 6755752052 7720859488 11822566091 13511504104 23645132182 27023008208 47290264364 54046016416 94580528728 189161057456 378322114912