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42735714700 = 22527409149269
BaseRepresentation
bin100111110011001111…
…110100000110001100
311002022022210020120011
4213303033310012030
51200010320332300
631344342403004
73042013403260
oct476317640614
9132268706504
1042735714700
1117140218a88
128348130464
134050a92163
1420d5a5a0a0
1511a1c73eba
hex9f33f418c

42735714700 has 72 divisors (see below), whose sum is σ = 106244415200. Its totient is φ = 14616322560.

The previous prime is 42735714617. The next prime is 42735714709. The reversal of 42735714700 is 741753724.

It is not an unprimeable number, because it can be changed into a prime (42735714709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211666 + ... + 360934.

Almost surely, 242735714700 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 42735714700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53122207600).

42735714700 is an abundant number, since it is smaller than the sum of its proper divisors (63508700500).

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

42735714700 is a wasteful number, since it uses less digits than its factorization.

42735714700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149699 (or 149692 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 42735714700 in words is "forty-two billion, seven hundred thirty-five million, seven hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 409 700 818 1636 2045 2863 4090 5726 8180 10225 11452 14315 20450 28630 40900 57260 71575 143150 149269 286300 298538 597076 746345 1044883 1492690 2089766 2985380 3731725 4179532 5224415 7463450 10448830 14926900 20897660 26122075 52244150 61051021 104488300 122102042 244204084 305255105 427357147 610510210 854714294 1221020420 1526275525 1709428588 2136785735 3052551050 4273571470 6105102100 8547142940 10683928675 21367857350 42735714700