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742014700000 = 255571060021
BaseRepresentation
bin10101100110000111000…
…01011100100111100000
32121221021021120022001221
422303003201130213200
544124121230400000
61324513222104424
7104415546612160
oct12630341344740
92557237508057
10742014700000
11266760a54662
12bb98327b114
1354c82a42782
1427cb12b65a0
151447c8a761a
hexacc385c9e0

742014700000 has 144 divisors (see below), whose sum is σ = 2086784749728. Its totient is φ = 254404800000.

The previous prime is 742014699977. The next prime is 742014700003. The reversal of 742014700000 is 7410247.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742014700003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169990 + ... + 1230010.

It is an arithmetic number, because the mean of its divisors is an integer number (14491560762).

Almost surely, 2742014700000 is an apocalyptic number.

742014700000 is a gapful number since it is divisible by the number (70) 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 742014700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043392374864).

742014700000 is an abundant number, since it is smaller than the sum of its proper divisors (1344770049728).

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

742014700000 is an equidigital number, since it uses as much as digits as its factorization.

742014700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060063 (or 1060035 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The spelling of 742014700000 in words is "seven hundred forty-two billion, fourteen million, seven hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 350000 700000 1060021 2120042 4240084 5300105 7420147 8480168 10600210 14840294 16960336 21200420 26500525 29680588 33920672 37100735 42400840 53001050 59361176 74201470 84801680 106002100 118722352 132502625 148402940 169603360 185503675 212004200 237444704 265005250 296805880 371007350 424008400 530010500 593611760 662513125 742014700 848016800 927518375 1060021000 1187223520 1325026250 1484029400 1855036750 2120042000 2650052500 2968058800 3312565625 3710073500 4240084000 4637591875 5300105000 5936117600 6625131250 7420147000 9275183750 10600210000 13250262500 14840294000 18550367500 21200420000 23187959375 26500525000 29680588000 37100735000 46375918750 53001050000 74201470000 92751837500 106002100000 148402940000 185503675000 371007350000 742014700000