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142125322455004 = 22722413769179829
BaseRepresentation
bin100000010100001100100001…
…010110111100011111011100
3200122020001022002101201201211
4200110030201112330133130
5122112040130022030004
61222135245523114204
741636133661056100
oct4024144126743734
9618201262351654
10142125322455004
1141316013365399
1213b34a0ab12964
13613c48ba4b495
142714c8bd21900
15116701486d504
hex8143215bc7dc

142125322455004 has 72 divisors (see below), whose sum is σ = 290538421976880. Its totient is φ = 60655741171200.

The previous prime is 142125322454963. The next prime is 142125322455043. The reversal of 142125322455004 is 400554223521241.

It is a super-3 number, since 3×1421253224550043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780332162 + ... + 1780411990.

It is an arithmetic number, because the mean of its divisors is an integer number (4035255860790).

Almost surely, 2142125322455004 is an apocalyptic number.

142125322455004 is a gapful number since it is divisible by the number (14) 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 142125322455004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145269210988440).

142125322455004 is an abundant number, since it is smaller than the sum of its proper divisors (148413099521876).

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

142125322455004 is a wasteful number, since it uses less digits than its factorization.

142125322455004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117779 (or 117770 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 142125322455004 its reverse (400554223521241), we get a palindrome (542679545976245).

The spelling of 142125322455004 in words is "one hundred forty-two trillion, one hundred twenty-five billion, three hundred twenty-two million, four hundred fifty-five thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 3374 6748 11809 23618 37691 47236 75382 79829 150764 159658 263837 319316 527674 558803 1055348 1117606 1846859 2235212 3693718 3911621 7387436 7823242 9083531 15646484 18167062 19238789 36334124 38477578 63584717 76955156 127169434 134671523 254338868 269343046 445093019 538686092 890186038 942700661 1780372076 1885401322 3008834839 3770802644 6017669678 12035339356 21061843873 42123687746 84247375492 147432907111 294865814222 589731628444 725129196199 1450258392398 2900516784796 5075904373393 10151808746786 20303617493572 35531330613751 71062661227502 142125322455004