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1390117897248 = 25323250875381
BaseRepresentation
bin10100001110101001011…
…110111100010000100000
311220220010201001221222020
4110032221132330100200
5140233430140202443
62542340014541440
7202301263110603
oct24165136742040
94826121057866
101390117897248
11496600349223
121a54b7807880
13a111a4884b2
144b3d3db633a
15262607de583
hex143a97bc420

1390117897248 has 144 divisors (see below), whose sum is σ = 3816071191296. Its totient is φ = 443056514560.

The previous prime is 1390117897199. The next prime is 1390117897249. The reversal of 1390117897248 is 8427987110931.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1390117897191 and 1390117897200.

It is not an unprimeable number, because it can be changed into a prime (1390117897249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258335518 + ... + 258340898.

It is an arithmetic number, because the mean of its divisors is an integer number (26500494384).

Almost surely, 21390117897248 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 1390117897248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908035595648).

1390117897248 is an abundant number, since it is smaller than the sum of its proper divisors (2425953294048).

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

1390117897248 is a wasteful number, since it uses less digits than its factorization.

1390117897248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 1390117897248 in words is "one trillion, three hundred ninety billion, one hundred seventeen million, eight hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 5087 5381 6348 8464 10174 10762 12696 15261 16143 16928 20348 21524 25392 30522 32286 40696 43048 50784 61044 64572 81392 86096 117001 122088 123763 129144 162784 172192 234002 244176 247526 258288 351003 371289 468004 488352 495052 516576 702006 742578 936008 990104 1404012 1485156 1872016 1980208 2691023 2808024 2846549 2970312 3744032 3960416 5382046 5616048 5693098 5940624 8073069 8539647 10764092 11232096 11386196 11881248 16146138 17079294 21528184 22772392 27373147 32292276 34158588 43056368 45544784 54746294 64584552 68317176 82119441 86112736 91089568 109492588 129169104 136634352 164238882 218985176 258338208 273268704 328477764 437970352 629582381 656955528 875940704 1259164762 1313911056 1888747143 2518329524 2627822112 3777494286 5036659048 7554988572 10073318096 14480394763 15109977144 20146636192 28960789526 30219954288 43441184289 57921579052 60439908576 86882368578 115843158104 173764737156 231686316208 347529474312 463372632416 695058948624 1390117897248