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144100034133420 = 22357930400851083
BaseRepresentation
bin100000110000111011100111…
…010110001011110110101100
3200220012211101010210202000210
4200300323213112023312230
5122341413332214232140
61230250350343422420
742231612115303101
oct4060734726136654
9626184333722023
10144100034133420
1141a07532651952
12141b3675a54a10
13625376210a051
14278269c014aa8
15119d58c6c4d80
hex830ee758bdac

144100034133420 has 48 divisors (see below), whose sum is σ = 408587438568960. Its totient is φ = 37940262150336.

The previous prime is 144100034133401. The next prime is 144100034133427. The reversal of 144100034133420 is 24331430001441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144100034133427) 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, 15200420802 + ... + 15200430281.

It is an arithmetic number, because the mean of its divisors is an integer number (8512238303520).

Almost surely, 2144100034133420 is an apocalyptic number.

144100034133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100034133420 is an abundant number, since it is smaller than the sum of its proper divisors (264487404435540).

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

144100034133420 is a wasteful number, since it uses less digits than its factorization.

144100034133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400851174 (or 30400851172 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144100034133420 its reverse (24331430001441), we get a palindrome (168431464134861).

The spelling of 144100034133420 in words is "one hundred forty-four trillion, one hundred billion, thirty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 30400851083 60801702166 91202553249 121603404332 152004255415 182405106498 304008510830 364810212996 456012766245 608017021660 912025532490 1824051064980 2401667235557 4803334471114 7205001706671 9606668942228 12008336177785 14410003413342 24016672355570 28820006826684 36025008533355 48033344711140 72050017066710 144100034133420