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142634134400 = 2752172621951
BaseRepresentation
bin1000010011010110101…
…0000010101110000000
3111122011102021202211112
42010311222002232000
54314103314300100
6145305240302452
713206415065302
oct2046552025600
9448142252745
10142634134400
115554428331a
1223787a71a28
13105b15269c4
146c913d7972
153a9c0e5b35
hex2135a82b80

142634134400 has 96 divisors (see below), whose sum is σ = 373077550080. Its totient is φ = 53697536000.

The previous prime is 142634134343. The next prime is 142634134429. The reversal of 142634134400 is 4431436241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1256576 + ... + 1365375.

It is an arithmetic number, because the mean of its divisors is an integer number (3886224480).

Almost surely, 2142634134400 is an apocalyptic number.

142634134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142634134400 is an abundant number, since it is smaller than the sum of its proper divisors (230443415680).

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

142634134400 is a wasteful number, since it uses less digits than its factorization.

142634134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621992 (or 2621975 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 142634134400 in words is "one hundred forty-two billion, six hundred thirty-four million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 2621951 5243902 10487804 13109755 20975608 26219510 41951216 44573167 52439020 65548775 83902432 89146334 104878040 131097550 167804864 178292668 209756080 222865835 262195100 335609728 356585336 419512160 445731670 524390200 713170672 839024320 891463340 1048780400 1114329175 1426341344 1678048640 1782926680 2097560800 2228658350 2852682688 3565853360 4195121600 4457316700 5705365376 7131706720 8390243200 8914633400 14263413440 17829266800 28526826880 35658533600 71317067200 142634134400