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142741984840 = 235713313125287
BaseRepresentation
bin1000010011110000010…
…1011101011001001000
3111122102221020010211021
42010330011131121020
54314313422003330
6145324052042224
713212164565130
oct2047405353110
9448387203737
10142741984840
115559a146a14
12237b8003374
13105ca988830
146ca186dac0
153aa67eb67a
hex213c15d648

142741984840 has 128 divisors (see below), whose sum is σ = 396551554560. Its totient is φ = 45030795264.

The previous prime is 142741984811. The next prime is 142741984843. The reversal of 142741984840 is 48489147241.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (142741984843) 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, 1076677 + ... + 1201963.

It is an arithmetic number, because the mean of its divisors is an integer number (3098059020).

Almost surely, 2142741984840 is an apocalyptic number.

142741984840 is a gapful number since it is divisible by the number (10) 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 142741984840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198275777280).

142741984840 is an abundant number, since it is smaller than the sum of its proper divisors (253809569720).

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

142741984840 is a wasteful number, since it uses less digits than its factorization.

142741984840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125631 (or 125627 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 142741984840 in words is "one hundred forty-two billion, seven hundred forty-one million, nine hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 313 364 455 520 626 728 910 1252 1565 1820 2191 2504 3130 3640 4069 4382 6260 8138 8764 10955 12520 16276 17528 20345 21910 28483 32552 40690 43820 56966 81380 87640 113932 125287 142415 162760 227864 250574 284830 501148 569660 626435 877009 1002296 1139320 1252870 1628731 1754018 2505740 3257462 3508036 4385045 5011480 6514924 7016072 8143655 8770090 11401117 13029848 16287310 17540180 22802234 32574620 35080360 39214831 45604468 57005585 65149240 78429662 91208936 114011170 156859324 196074155 228022340 274503817 313718648 392148310 456044680 509792803 549007634 784296620 1019585606 1098015268 1372519085 1568593240 2039171212 2196030536 2548964015 2745038170 3568549621 4078342424 5097928030 5490076340 7137099242 10195856060 10980152680 14274198484 17842748105 20391712120 28548396968 35685496210 71370992420 142741984840