Search a number
-
+
3955143456 = 2532112113497
BaseRepresentation
bin1110101110111110…
…1011001100100000
3101012122022002211200
43223233223030200
531100004042311
61452244241200
7200004110325
oct35357531440
911178262750
103955143456
11174a636900
129246a0200
134b0547494
142973d8b4c
15182364556
hexebbeb320

3955143456 has 108 divisors (see below), whose sum is σ = 12362996646. Its totient is φ = 1198517760.

The previous prime is 3955143421. The next prime is 3955143461. The reversal of 3955143456 is 6543415593.

3955143456 is a `hidden beast` number, since 3 + 9 + 55 + 143 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3931290000 + 23853456 = 62700^2 + 4884^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21901 + ... + 91596.

Almost surely, 23955143456 is an apocalyptic number.

3955143456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3955143456 is an abundant number, since it is smaller than the sum of its proper divisors (8407853190).

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

3955143456 is a wasteful number, since it uses less digits than its factorization.

3955143456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113535 (or 113513 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3955143456 is about 62889.9312767950. The cubic root of 3955143456 is about 1581.4449549167. Note that the first 3 decimals are identical.

The spelling of 3955143456 in words is "three billion, nine hundred fifty-five million, one hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 113497 226994 340491 453988 680982 907976 1021473 1248467 1361964 1815952 2042946 2496934 2723928 3631904 3745401 4085892 4993868 5447856 7490802 8171784 9987736 10895712 11236203 13733137 14981604 16343568 19975472 22472406 27466274 29963208 32687136 39950944 41199411 44944812 54932548 59926416 82398822 89889624 109865096 119852832 123598233 164797644 179779248 219730192 247196466 329595288 359558496 439460384 494392932 659190576 988785864 1318381152 1977571728 3955143456