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142489101312 = 2103231094973
BaseRepresentation
bin1000010010110100000…
…0110010010000000000
3111121210022101022211200
42010231000302100000
54313304202220222
6145243015541200
713203004243305
oct2045500622000
9447708338750
10142489101312
115547a423868
122374738a800
131058a4767cc
146c7a0430ac
153a8e4e7eac
hex212d032400

142489101312 has 132 divisors (see below), whose sum is σ = 411649284540. Its totient is φ = 47471542272.

The previous prime is 142489101301. The next prime is 142489101317. The reversal of 142489101312 is 213101984241.

142489101312 is a `hidden beast` number, since 1 + 42 + 489 + 1 + 0 + 131 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57094235136 + 85394866176 = 238944^2 + 292224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142489101317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28650058 + ... + 28655030.

Almost surely, 2142489101312 is an apocalyptic number.

142489101312 is a gapful number since it is divisible by the number (12) 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 142489101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205824642270).

142489101312 is an abundant number, since it is smaller than the sum of its proper divisors (269160183228).

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

142489101312 is a wasteful number, since it uses less digits than its factorization.

142489101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 142489101312 in words is "one hundred forty-two billion, four hundred eighty-nine million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3109 4608 4973 6218 9216 9327 9946 12436 14919 18654 19892 24872 27981 29838 37308 39784 44757 49744 55962 59676 74616 79568 89514 99488 111924 119352 149232 159136 179028 198976 223848 238704 298464 318272 358056 397952 447696 477408 596928 636544 716112 795904 895392 954816 1193856 1273088 1432224 1591808 1790784 1909632 2387712 2546176 2864448 3183616 3581568 3819264 4775424 5092352 5728896 7163136 7638528 9550848 11457792 14326272 15277056 15461057 22915584 28652544 30922114 45831168 46383171 61844228 92766342 123688456 139149513 185532684 247376912 278299026 371065368 494753824 556598052 742130736 989507648 1113196104 1484261472 1979015296 2226392208 2968522944 3958030592 4452784416 5937045888 7916061184 8905568832 11874091776 15832122368 17811137664 23748183552 35622275328 47496367104 71244550656 142489101312