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144034012010124 = 223317199394220591
BaseRepresentation
bin100000101111111110001000…
…000111110001011010001100
3200212222111221221112101011000
4200233332020013301122030
5122334323124033310444
61230200151152300300
742224054042435445
oct4057761007613214
9625874857471130
10144034012010124
1141991532903495
12141a290b241690
13624a46cb393c2
14277d3d78342cc
15119b9c6419469
hex82ff881f168c

144034012010124 has 96 divisors (see below), whose sum is σ = 397374356736000. Its totient is φ = 44960069848320.

The previous prime is 144034012010087. The next prime is 144034012010177. The reversal of 144034012010124 is 421010210430441.

144034012010124 is a `hidden beast` number, since 1 + 4 + 40 + 3 + 401 + 201 + 0 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196744932 + ... + 197475659.

It is an arithmetic number, because the mean of its divisors is an integer number (4139316216000).

Almost surely, 2144034012010124 is an apocalyptic number.

It is an amenable number.

144034012010124 is an abundant number, since it is smaller than the sum of its proper divisors (253340344725876).

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

144034012010124 is a wasteful number, since it uses less digits than its factorization.

144034012010124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394220820 (or 394220812 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144034012010124 its reverse (421010210430441), we get a palindrome (565044222440565).

The spelling of 144034012010124 in words is "one hundred forty-four trillion, thirty-four billion, twelve million, ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 199 204 306 398 459 597 612 796 918 1194 1791 1836 2388 3383 3582 5373 6766 7164 10149 10746 13532 20298 21492 30447 40596 60894 91341 121788 182682 365364 394220591 788441182 1182661773 1576882364 2365323546 3547985319 4730647092 6701750047 7095970638 10643955957 13403500094 14191941276 20105250141 21287911914 26807000188 40210500282 42575823828 60315750423 78449897609 80421000564 120631500846 156899795218 180947251269 235349692827 241263001692 313799590436 361894502538 470699385654 706049078481 723789005076 941398771308 1333648259353 1412098156962 2118147235443 2667296518706 2824196313924 4000944778059 4236294470886 5334593037412 8001889556118 8472588941772 12002834334177 16003779112236 24005668668354 36008503002531 48011337336708 72017006005062 144034012010124