Search a number
-
+
144311333113972 = 221923271304641959
BaseRepresentation
bin100000110100000000011001…
…101111110101000001110100
3200220222000202221010002222101
4200310000121233311001310
5122403344102234121342
61230531413342111444
742253102236065263
oct4064003157650164
9626860687102871
10144311333113972
1141a89102399402
121422860557b584
13626a66728561b
14278c9c49925da
1511a3d07a953b7
hex834019bf5074

144311333113972 has 48 divisors (see below), whose sum is σ = 278418380083200. Its totient is φ = 65144636298720.

The previous prime is 144311333113963. The next prime is 144311333113973. The reversal of 144311333113972 is 279311333113441.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311333113973) 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, 151847272 + ... + 152794687.

It is an arithmetic number, because the mean of its divisors is an integer number (5800382918400).

Almost surely, 2144311333113972 is an apocalyptic number.

It is an amenable number.

144311333113972 is a deficient number, since it is larger than the sum of its proper divisors (134107046969228).

144311333113972 is a wasteful number, since it uses less digits than its factorization.

144311333113972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304642276 (or 304642274 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The spelling of 144311333113972 in words is "one hundred forty-four trillion, three hundred eleven billion, three hundred thirty-three million, one hundred thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 19 23 38 46 76 92 271 437 542 874 1084 1748 5149 6233 10298 12466 20596 24932 118427 236854 473708 304641959 609283918 1218567836 5788197221 7006765057 11576394442 14013530114 23152788884 28027060228 82557970889 133128536083 165115941778 266257072166 330231883556 532514144332 1568601446891 1898833330447 3137202893782 3797666660894 6274405787564 7595333321788 36077833278493 72155666556986 144311333113972