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1358114912 = 25711796977
BaseRepresentation
bin101000011110011…
…0011000001100000
310111122112101102022
41100330303001200
510240134134122
6342433041012
745440533460
oct12074630140
93448471368
101358114912
11637690920
1231a9b6168
131884a4bbb
14cc52bba0
157e36e642
hex50f33060

1358114912 has 96 divisors (see below), whose sum is σ = 3376235520. Its totient is φ = 522362880.

The previous prime is 1358114911. The next prime is 1358114917. The reversal of 1358114912 is 2194118531.

It is a happy number.

It is a super-2 number, since 2×13581149122 = 3688952228393535488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358114911) 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, 191168 + ... + 198144.

It is an arithmetic number, because the mean of its divisors is an integer number (35169120).

Almost surely, 21358114912 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 1358114912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688117760).

1358114912 is an abundant number, since it is smaller than the sum of its proper divisors (2018120608).

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

1358114912 is a wasteful number, since it uses less digits than its factorization.

1358114912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7076 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 1358114912 is about 36852.6106537922. The cubic root of 1358114912 is about 1107.4195154736.

The spelling of 1358114912 in words is "one billion, three hundred fifty-eight million, one hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 79 88 112 154 158 176 224 308 316 352 553 616 632 869 1106 1232 1264 1738 2212 2464 2528 3476 4424 6083 6952 6977 8848 12166 13904 13954 17696 24332 27808 27908 48664 48839 55816 76747 97328 97678 111632 153494 194656 195356 223264 306988 390712 537229 551183 613976 781424 1074458 1102366 1227952 1562848 2148916 2204732 2455904 3858281 4297832 4409464 6063013 7716562 8595664 8818928 12126026 15433124 17191328 17637856 24252052 30866248 42441091 48504104 61732496 84882182 97008208 123464992 169764364 194016416 339528728 679057456 1358114912