Search a number
-
+
1514115451640 = 2351121991572029
BaseRepresentation
bin10110000010001000010…
…100000100101011111000
312100202012022100101011202
4112002020110010223320
5144301402023423030
63115324112513332
7214251122662541
oct26021024045370
95322168311152
101514115451640
11534150777100
1220554224b848
13aca1b91905c
14533d81d74c8
15295bb6d5745
hex16088504af8

1514115451640 has 96 divisors (see below), whose sum is σ = 3763439820000. Its totient is φ = 547820317440.

The previous prime is 1514115451609. The next prime is 1514115451643. The reversal of 1514115451640 is 461545114151.

It is a junction number, because it is equal to n+sod(n) for n = 1514115451594 and 1514115451603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514115451643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177146 + ... + 1749174.

It is an arithmetic number, because the mean of its divisors is an integer number (39202498125).

Almost surely, 21514115451640 is an apocalyptic number.

1514115451640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1514115451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881719910000).

1514115451640 is an abundant number, since it is smaller than the sum of its proper divisors (2249324368360).

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

1514115451640 is a wasteful number, since it uses less digits than its factorization.

1514115451640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572261 (or 1572246 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 1514115451640 in words is "one trillion, five hundred fourteen billion, one hundred fifteen million, four hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 199 220 242 398 440 484 605 796 968 995 1210 1592 1990 2189 2420 3980 4378 4840 7960 8756 10945 17512 21890 24079 43780 48158 87560 96316 120395 192632 240790 481580 963160 1572029 3144058 6288116 7860145 12576232 15720290 17292319 31440580 34584638 62881160 69169276 86461595 138338552 172923190 190215509 312833771 345846380 380431018 625667542 691692760 760862036 951077545 1251335084 1521724072 1564168855 1902155090 2502670168 3128337710 3441171481 3804310180 6256675420 6882342962 7608620360 12513350840 13764685924 17205857405 27529371848 34411714810 37852886291 68823429620 75705772582 137646859240 151411545164 189264431455 302823090328 378528862910 757057725820 1514115451640