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3141134424224 = 25738915796233
BaseRepresentation
bin101101101101011010001…
…100111001100010100000
3102010021211001120212200022
4231231122030321202200
5402431020403033344
610403003420013012
7442640145032456
oct55553214714240
912107731525608
103141134424224
1110011695475a5
12428933691168
1319a291436524
14ac0630649d6
1556a94d4b0ee
hex2db5a3398a0

3141134424224 has 96 divisors (see below), whose sum is σ = 6379702151760. Its totient is φ = 1521875976192.

The previous prime is 3141134424209. The next prime is 3141134424251. The reversal of 3141134424224 is 4224244311413.

It can be written as a sum of positive squares in 8 ways, for example, as 1678921415824 + 1462213008400 = 1295732^2 + 1209220^2 .

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, 32592812 + ... + 32689044.

Almost surely, 23141134424224 is an apocalyptic number.

It is an amenable number.

3141134424224 is an abundant number, since it is smaller than the sum of its proper divisors (3238567727536).

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

3141134424224 is a wasteful number, since it uses less digits than its factorization.

3141134424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96562 (or 96554 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 3141134424224 its reverse (4224244311413), we get a palindrome (7365378735637).

The spelling of 3141134424224 in words is "three trillion, one hundred forty-one billion, one hundred thirty-four million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 73 89 146 157 178 292 314 356 584 628 712 1168 1256 1424 2336 2512 2848 5024 6497 11461 12994 13973 22922 25988 27946 45844 51976 55892 91688 96233 103952 111784 183376 192466 207904 223568 366752 384932 447136 769864 1020029 1539728 2040058 3079456 4080116 7025009 8160232 8564737 14050018 15108581 16320464 17129474 28100036 30217162 32640928 34258948 56200072 60434324 68517896 112400144 120868648 137035792 224800288 241737296 274071584 483474592 625225801 1102926413 1250451602 1344663709 2205852826 2500903204 2689327418 4411705652 5001806408 5378654836 8823411304 10003612816 10757309672 17646822608 20007225632 21514619344 35293645216 43029238688 98160450757 196320901514 392641803028 785283606056 1570567212112 3141134424224