Search a number
-
+
2414080037952 = 263311127003369
BaseRepresentation
bin100011001000010010011…
…000100001010001000000
322112210011101111020222000
4203020102120201101000
5304023013442203302
65045002453144000
7336261103516302
oct43102230412100
98483141436860
102414080037952
11850895279090
1232ba4662b000
13146853c55ccb
1484bb0a01972
1542be0a6931c
hex23212621440

2414080037952 has 112 divisors (see below), whose sum is σ = 7742125435200. Its totient is φ = 731539399680.

The previous prime is 2414080037861. The next prime is 2414080037959. The reversal of 2414080037952 is 2597300804142.

It is a junction number, because it is equal to n+sod(n) for n = 2414080037898 and 2414080037907.

It is not an unprimeable number, because it can be changed into a prime (2414080037959) 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, 63482677 + ... + 63520692.

Almost surely, 22414080037952 is an apocalyptic number.

2414080037952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2414080037952 is an abundant number, since it is smaller than the sum of its proper divisors (5328045397248).

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

2414080037952 is a wasteful number, since it uses less digits than its factorization.

2414080037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127003401 (or 127003385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2414080037952 in words is "two trillion, four hundred fourteen billion, eighty million, thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 127003369 254006738 381010107 508013476 762020214 1016026952 1143030321 1397037059 1524040428 2032053904 2286060642 2794074118 3048080856 3429090963 4064107808 4191111177 4572121284 5588148236 6096161712 6858181926 8128215616 8382222354 9144242568 11176296472 12192323424 12573333531 13716363852 16764444708 18288485136 22352592944 24384646848 25146667062 27432727704 33528889416 36576970272 37720000593 44705185888 50293334124 54865455408 67057778832 73153940544 75440001186 89410371776 100586668248 109730910816 134115557664 150880002372 201173336496 219461821632 268231115328 301760004744 402346672992 603520009488 804693345984 1207040018976 2414080037952