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233144142000 = 243537111732917
BaseRepresentation
bin1101100100100001111…
…0010100100010110000
3211021210012211112212020
43121020132110202300
512304434400021000
6255034400031440
722562346336420
oct3311036244260
9737705745766
10233144142000
118a96a8766a0
1239227602580
1318ca6bc6213
14b3d9d34480
1560e8115ba0
hex36487948b0

233144142000 has 640 divisors, whose sum is σ = 942870509568. Its totient is φ = 48148992000.

The previous prime is 233144141983. The next prime is 233144142019. The reversal of 233144142000 is 241441332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79924542 + ... + 79927458.

Almost surely, 2233144142000 is an apocalyptic number.

233144142000 is a gapful number since it is divisible by the number (20) 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 233144142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471435254784).

233144142000 is an abundant number, since it is smaller than the sum of its proper divisors (709726367568).

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

233144142000 is a wasteful number, since it uses less digits than its factorization.

233144142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3118 counting only the distinct ones).

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

Adding to 233144142000 its reverse (241441332), we get a palindrome (233385583332).

The spelling of 233144142000 in words is "two hundred thirty-three billion, one hundred forty-four million, one hundred forty-two thousand".