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141221376 = 2932191613
BaseRepresentation
bin10000110101011…
…01111000000000
3100211201210022100
420122231320000
5242123041001
622002510400
73333235062
oct1032557000
9324653270
10141221376
117279678a
123b365400
132334725a
1414a81732
15c5e8586
hex86ade00

141221376 has 120 divisors (see below), whose sum is σ = 429291720. Its totient is φ = 44568576.

The previous prime is 141221371. The next prime is 141221383. The reversal of 141221376 is 673122141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141221371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86746 + ... + 88358.

It is an arithmetic number, because the mean of its divisors is an integer number (3577431).

Almost surely, 2141221376 is an apocalyptic number.

141221376 is a gapful number since it is divisible by the number (16) 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 141221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214645860).

141221376 is an abundant number, since it is smaller than the sum of its proper divisors (288070344).

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

141221376 is a wasteful number, since it uses less digits than its factorization.

141221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1637 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 141221376 is about 11883.6600422597. The cubic root of 141221376 is about 520.7550372815.

The spelling of 141221376 in words is "one hundred forty-one million, two hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1613 1824 2304 2432 2736 3226 3648 4608 4839 4864 5472 6452 7296 9678 9728 10944 12904 14517 14592 19356 21888 25808 29034 29184 30647 38712 43776 51616 58068 61294 77424 87552 91941 103232 116136 122588 154848 183882 206464 232272 245176 275823 309696 367764 412928 464544 490352 551646 619392 735528 825856 929088 980704 1103292 1238784 1471056 1858176 1961408 2206584 2477568 2942112 3716352 3922816 4413168 5884224 7432704 7845632 8826336 11768448 15691264 17652672 23536896 35305344 47073792 70610688 141221376