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3141402432 = 26375344101
BaseRepresentation
bin1011101100111101…
…1111111101000000
322002221002210000020
42323033133331000
522413144334212
61235415053440
7140563323450
oct27317377500
98087083006
103141402432
111372270163
12738071280
133b0a9300c
1421b2d3d60
15135bc5d8c
hexbb3dff40

3141402432 has 112 divisors (see below), whose sum is σ = 9678448512. Its totient is φ = 880588800.

The previous prime is 3141402419. The next prime is 3141402437. The reversal of 3141402432 is 2342041413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141402437) 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, 49182 + ... + 93282.

Almost surely, 23141402432 is an apocalyptic number.

3141402432 is a gapful number since it is divisible by the number (32) 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 3141402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839224256).

3141402432 is an abundant number, since it is smaller than the sum of its proper divisors (6537046080).

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

3141402432 is a wasteful number, since it uses less digits than its factorization.

3141402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44176 (or 44166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3141402432 is about 56048.2152436632. The cubic root of 3141402432 is about 1464.5623269054.

Adding to 3141402432 its reverse (2342041413), we get a palindrome (5483443845).

The spelling of 3141402432 in words is "three billion, one hundred forty-one million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 23744 35616 44101 71232 88202 132303 176404 264606 308707 352808 529212 617414 705616 926121 1058424 1234828 1411232 1852242 2116848 2337353 2469656 2822464 3704484 4233696 4674706 4939312 7012059 7408968 8467392 9349412 9878624 14024118 14817936 16361471 18698824 19757248 28048236 29635872 32722942 37397648 49084413 56096472 59271744 65445884 74795296 98168826 112192944 130891768 149590592 196337652 224385888 261783536 392675304 448771776 523567072 785350608 1047134144 1570701216 3141402432