Search a number
-
+
1418064813568 = 2913895094703
BaseRepresentation
bin10100101000101011001…
…111111101111000000000
312000120021101010102000001
4110220223033331320000
5141213144043013233
63003241110205344
7204310653015004
oct24505317757000
95016241112001
101418064813568
114a7441689087
121aa9b7053854
13a39523ab380
144c8c58a8704
1526d4906c27d
hex14a2b3fde00

1418064813568 has 160 divisors (see below), whose sum is σ = 3092314579200. Its totient is φ = 645728894976.

The previous prime is 1418064813499. The next prime is 1418064813569. The reversal of 1418064813568 is 8653184608141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418064813569) 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, 301521105 + ... + 301525807.

It is an arithmetic number, because the mean of its divisors is an integer number (19326966120).

Almost surely, 21418064813568 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 1418064813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546157289600).

1418064813568 is an abundant number, since it is smaller than the sum of its proper divisors (1674249765632).

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

1418064813568 is an equidigital number, since it uses as much as digits as its factorization.

1418064813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 1418064813568 in words is "one trillion, four hundred eighteen billion, sixty-four million, eight hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 509 512 712 832 1018 1157 1424 1664 2036 2314 2848 3328 4072 4628 4703 5696 6617 6656 8144 9256 9406 11392 13234 16288 18512 18812 22784 26468 32576 37024 37624 45301 45568 52936 61139 65152 74048 75248 90602 105872 122278 130304 148096 150496 181204 211744 244556 260608 296192 300992 362408 418567 423488 489112 588913 592384 601984 724816 837134 846976 978224 1177826 1203968 1449632 1674268 1693952 1956448 2355652 2393827 2407936 2899264 3348536 3387904 3912896 4711304 4787654 5441371 5798528 6697072 7825792 9422608 9575308 10882742 11597056 13394144 15651584 18845216 19150616 21765484 23194112 26788288 31119751 31303168 37690432 38301232 43530968 53576576 62239502 75380864 76602464 87061936 107153152 124479004 150761728 153204928 174123872 213050603 214306304 248958008 301523456 306409856 348247744 426101206 497916016 612819712 696495488 852202412 995832032 1225639424 1392990976 1704404824 1991664064 2769657839 2785981952 3408809648 3983328128 5539315678 6817619296 7966656256 11078631356 13635238592 15933312512 22157262712 27270477184 44314525424 54540954368 88629050848 109081908736 177258101696 354516203392 709032406784 1418064813568