Search a number
-
+
140009355264 = 2113109720773
BaseRepresentation
bin1000001001100100110…
…1010011100000000000
3111101101111022011202110
42002121031103200000
54243214343332024
6144152554215320
713054363612062
oct2023115234000
9441344264673
10140009355264
11544176a3969
1223174a24540
13102837b925c
146ac2985732
15399696d629
hex2099353800

140009355264 has 96 divisors (see below), whose sum is σ = 373625375760. Its totient is φ = 46624997376.

The previous prime is 140009355181. The next prime is 140009355301. The reversal of 140009355264 is 462553900041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1400093552642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6729582 + ... + 6750354.

Almost surely, 2140009355264 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 140009355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186812687880).

140009355264 is an abundant number, since it is smaller than the sum of its proper divisors (233616020496).

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

140009355264 is a wasteful number, since it uses less digits than its factorization.

140009355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21895 (or 21875 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 140009355264 in words is "one hundred forty billion, nine million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1097 1536 2048 2194 3072 3291 4388 6144 6582 8776 13164 17552 20773 26328 35104 41546 52656 62319 70208 83092 105312 124638 140416 166184 210624 249276 280832 332368 421248 498552 561664 664736 842496 997104 1123328 1329472 1684992 1994208 2246656 2658944 3369984 3988416 5317888 6739968 7976832 10635776 15953664 21271552 22787981 31907328 42543104 45575962 63814656 68363943 91151924 127629312 136727886 182303848 273455772 364607696 546911544 729215392 1093823088 1458430784 2187646176 2916861568 4375292352 5833723136 8750584704 11667446272 17501169408 23334892544 35002338816 46669785088 70004677632 140009355264