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151431443440 = 24541421109663
BaseRepresentation
bin1000110100001000000…
…1000111001111110000
3112110212111222101010021
42031002001013033300
54440112422142230
6153322221213224
713640420013514
oct2150201071760
9473774871107
10151431443440
1159249113862
1225422101214
1311383cb9c04
14748792a144
153e145d5c7a
hex23420473f0

151431443440 has 80 divisors (see below), whose sum is σ = 361525360896. Its totient is φ = 58954291200.

The previous prime is 151431443437. The next prime is 151431443447. The reversal of 151431443440 is 44344134151.

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

It is a junction number, because it is equal to n+sod(n) for n = 151431443396 and 151431443405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151431443447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326049 + ... + 1435711.

Almost surely, 2151431443440 is an apocalyptic number.

151431443440 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 151431443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180762680448).

151431443440 is an abundant number, since it is smaller than the sum of its proper divisors (210093917456).

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

151431443440 is a wasteful number, since it uses less digits than its factorization.

151431443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110138 (or 110132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 151431443440 its reverse (44344134151), we get a palindrome (195775577591).

The spelling of 151431443440 in words is "one hundred fifty-one billion, four hundred thirty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 421 656 820 842 1640 1684 2105 3280 3368 4210 6736 8420 16840 17261 33680 34522 69044 86305 109663 138088 172610 219326 276176 345220 438652 548315 690440 877304 1096630 1380880 1754608 2193260 4386520 4496183 8773040 8992366 17984732 22480915 35969464 44961830 46168123 71938928 89923660 92336246 179847320 184672492 230840615 359694640 369344984 461681230 738689968 923362460 1846724920 1892893043 3693449840 3785786086 7571572172 9464465215 15143144344 18928930430 30286288688 37857860860 75715721720 151431443440