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142140131403000 = 23353427111093431
BaseRepresentation
bin100000010100011010010100…
…000010100110010011111000
3200122021110112011001020100020
4200110122110002212103320
5122112310442114344000
61222150135214210440
741640166651046433
oct4024322402462370
9618243464036306
10142140131403000
1141321322656195
1213b378624b3a20
1361409abb23cc3
142715894a1281a
1511675ce9e4ba0
hex8146940a64f8

142140131403000 has 128 divisors (see below), whose sum is σ = 443581084477440. Its totient is φ = 37895156880000.

The previous prime is 142140131402939. The next prime is 142140131403029. The reversal of 142140131403000 is 304131041241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7266285 + ... + 18359715.

It is an arithmetic number, because the mean of its divisors is an integer number (3465477222480).

Almost surely, 2142140131403000 is an apocalyptic number.

142140131403000 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 142140131403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221790542238720).

142140131403000 is an abundant number, since it is smaller than the sum of its proper divisors (301440953074440).

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

142140131403000 is a wasteful number, since it uses less digits than its factorization.

142140131403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097726 (or 11097712 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 142140131403000 its reverse (304131041241), we get a palindrome (142444262444241).

The spelling of 142140131403000 in words is "one hundred forty-two trillion, one hundred forty billion, one hundred thirty-one million, four hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4271 8542 12813 17084 21355 25626 34168 42710 51252 64065 85420 102504 106775 128130 170840 213550 256260 320325 427100 512520 533875 640650 854200 1067750 1281300 1601625 2135500 2562600 3203250 4271000 6406500 11093431 12813000 22186862 33280293 44373724 55467155 66560586 88747448 110934310 133121172 166401465 221868620 266242344 277335775 332802930 443737240 554671550 665605860 832007325 1109343100 1331211720 1386678875 1664014650 2218686200 2773357750 3328029300 4160036625 5546715500 6656058600 8320073250 11093431000 16640146500 33280293000 47380043801 94760087602 142140131403 189520175204 236900219005 284280262806 379040350408 473800438010 568560525612 710700657015 947600876020 1137121051224 1184501095025 1421401314030 1895201752040 2369002190050 2842802628060 3553503285075 4738004380100 5685605256120 5922505475125 7107006570150 9476008760200 11845010950250 14214013140300 17767516425375 23690021900500 28428026280600 35535032850750 47380043801000 71070065701500 142140131403000