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142351003344 = 243111747337427
BaseRepresentation
bin1000010010010011000…
…1111110111011010000
3111121102200112020001010
42010210301332323100
54313013324101334
6145221204010520
713166406364314
oct2044461767320
9447380466033
10142351003344
1155409480810
1223709090a40
1310567984134
146c65975b44
153a8231a0e9
hex2124c7eed0

142351003344 has 160 divisors (see below), whose sum is σ = 433808234496. Its totient is φ = 39735285760.

The previous prime is 142351003343. The next prime is 142351003471. The reversal of 142351003344 is 443300153241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142351003343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253159 + ... + 590585.

Almost surely, 2142351003344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142351003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216904117248).

142351003344 is an abundant number, since it is smaller than the sum of its proper divisors (291457231152).

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

142351003344 is a wasteful number, since it uses less digits than its factorization.

142351003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337513 (or 337507 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 142351003344 its reverse (443300153241), we get a palindrome (585651156585).

The spelling of 142351003344 in words is "one hundred forty-two billion, three hundred fifty-one million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 47 48 51 66 68 88 94 102 132 136 141 176 187 188 204 264 272 282 374 376 408 517 528 561 564 748 752 799 816 1034 1122 1128 1496 1551 1598 2068 2244 2256 2397 2992 3102 3196 4136 4488 4794 6204 6392 8272 8789 8976 9588 12408 12784 17578 19176 24816 26367 35156 38352 52734 70312 105468 140624 210936 337427 421872 674854 1012281 1349708 2024562 2699416 3711697 4049124 5398832 5736259 7423394 8098248 11135091 11472518 14846788 15859069 16196496 17208777 22270182 22945036 29693576 31718138 34417554 44540364 45890072 47577207 59387152 63098849 63436276 68835108 89080728 91780144 95154414 126197698 126872552 137670216 174449759 178161456 189296547 190308828 252395396 253745104 269604173 275340432 348899518 378593094 380617656 504790792 523349277 539208346 697799036 757186188 761235312 808812519 1009581584 1046698554 1078416692 1395598072 1514372376 1617625038 2093397108 2156833384 2791196144 2965645903 3028744752 3235250076 4186794216 4313666768 5931291806 6470500152 8373588432 8896937709 11862583612 12941000304 17793875418 23725167224 35587750836 47450334448 71175501672 142351003344