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141998640 = 2435784523
BaseRepresentation
bin10000111011010…
…11101000110000
3100220012021111220
420131223220300
5242322424030
622031305040
73342653130
oct1035535060
9326167456
10141998640
1173177753
123b67b180
1323559c84
1414c04ac0
15c6eda10
hex876ba30

141998640 has 80 divisors (see below), whose sum is σ = 503086848. Its totient is φ = 32456448.

The previous prime is 141998617. The next prime is 141998687. The reversal of 141998640 is 46899141.

141998640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1419986402 = 40327227523699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 141998592 and 141998601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40582 + ... + 43941.

Almost surely, 2141998640 is an apocalyptic number.

141998640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141998640 is an abundant number, since it is smaller than the sum of its proper divisors (361088208).

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

141998640 is a wasteful number, since it uses less digits than its factorization.

141998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84546 (or 84540 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 141998640 is about 11916.3182233440. The cubic root of 141998640 is about 521.7086790681.

The spelling of 141998640 in words is "one hundred forty-one million, nine hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 84523 169046 253569 338092 422615 507138 591661 676184 845230 1014276 1183322 1267845 1352368 1690460 1774983 2028552 2366644 2535690 2958305 3380920 3549966 4057104 4733288 5071380 5916610 6761840 7099932 8874915 9466576 10142760 11833220 14199864 17749830 20285520 23666440 28399728 35499660 47332880 70999320 141998640