Search a number
-
+
143152111440320 = 2654191123950723
BaseRepresentation
bin100000100011001000110010…
…110000000101000111000000
3200202212012121210000121112012
4200203020302300011013000
5122230401011012042240
61224243101102352052
742103253525330123
oct4043106260050700
9622765553017465
10143152111440320
1141681518a38474
121407ba0858b628
1361b5256084c08
14274c85615c3ba
151183aacd86b65
hex823232c051c0

143152111440320 has 112 divisors (see below), whose sum is σ = 341999152871040. Its totient is φ = 57073256334336.

The previous prime is 143152111440287. The next prime is 143152111440329. The reversal of 143152111440320 is 23044111251341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143152111440329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150096479 + ... + 151047201.

It is an arithmetic number, because the mean of its divisors is an integer number (3053563864920).

Almost surely, 2143152111440320 is an apocalyptic number.

143152111440320 is a gapful number since it is divisible by the number (10) 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 143152111440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170999576435520).

143152111440320 is an abundant number, since it is smaller than the sum of its proper divisors (198847041430720).

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

143152111440320 is a wasteful number, since it uses less digits than its factorization.

143152111440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952282 (or 952272 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 143152111440320 its reverse (23044111251341), we get a palindrome (166196222691661).

The spelling of 143152111440320 in words is "one hundred forty-three trillion, one hundred fifty-two billion, one hundred eleven million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 419 838 1123 1676 2095 2246 3352 4190 4492 5615 6704 8380 8984 11230 13408 16760 17968 22460 26816 33520 35936 44920 67040 71872 89840 134080 179680 359360 470537 941074 950723 1882148 1901446 2352685 3764296 3802892 4705370 4753615 7528592 7605784 9410740 9507230 15057184 15211568 18821480 19014460 30114368 30423136 37642960 38028920 60846272 75285920 76057840 150571840 152115680 304231360 398352937 796705874 1067661929 1593411748 1991764685 2135323858 3186823496 3983529370 4270647716 5338309645 6373646992 7967058740 8541295432 10676619290 12747293984 15934117480 17082590864 21353238580 25494587968 31868234960 34165181728 42706477160 63736469920 68330363456 85412954320 127472939840 170825908640 341651817280 447350348251 894700696502 1789401393004 2236751741255 3578802786008 4473503482510 7157605572016 8947006965020 14315211144032 17894013930040 28630422288064 35788027860080 71576055720160 143152111440320