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121945344 = 2831961137
BaseRepresentation
bin1110100010010…
…11110100000000
322111110110120020
413101023310000
5222204222334
620033413440
73010342533
oct721136400
9274413506
10121945344
1162920384
1234a0a280
131c358511
14122a4a1a
15aa8be49
hex744bd00

121945344 has 144 divisors (see below), whose sum is σ = 349769280. Its totient is φ = 37601280.

The previous prime is 121945339. The next prime is 121945367. The reversal of 121945344 is 443549121.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 890044 + ... + 890180.

Almost surely, 2121945344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174884640).

121945344 is an abundant number, since it is smaller than the sum of its proper divisors (227823936).

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

121945344 is a wasteful number, since it uses less digits than its factorization.

121945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 121945344 is about 11042.8865791513. The cubic root of 121945344 is about 495.8934908313.

The spelling of 121945344 in words is "one hundred twenty-one million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 137 152 183 192 228 244 256 274 304 366 384 411 456 488 548 608 732 768 822 912 976 1096 1159 1216 1464 1644 1824 1952 2192 2318 2432 2603 2928 3288 3477 3648 3904 4384 4636 4864 5206 5856 6576 6954 7296 7808 7809 8357 8768 9272 10412 11712 13152 13908 14592 15616 15618 16714 17536 18544 20824 23424 25071 26304 27816 31236 33428 35072 37088 41648 46848 50142 52608 55632 62472 66856 74176 83296 100284 105216 111264 124944 133712 148352 158783 166592 200568 222528 249888 267424 296704 317566 333184 401136 445056 476349 499776 534848 635132 666368 802272 890112 952698 999552 1069696 1270264 1604544 1905396 1999104 2139392 2540528 3209088 3810792 5081056 6418176 7621584 10162112 15243168 20324224 30486336 40648448 60972672 121945344