Search a number
-
+
1145214455350 = 252789245914951
BaseRepresentation
bin10000101010100100000…
…110011100111000110110
311001110222222001002020011
4100222210012130320312
5122230344400032400
62234034304130434
7145511324154040
oct20524406347066
94043888032204
101145214455350
11401756782569
12165b4a006a1a
1383cbb265174
143d6003dca90
151ebca1518ba
hex10aa419ce36

1145214455350 has 96 divisors (see below), whose sum is σ = 2462917363200. Its totient is φ = 388049376000.

The previous prime is 1145214455339. The next prime is 1145214455351. The reversal of 1145214455350 is 535544125411.

It is a super-2 number, since 2×11452144553502 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145214455351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76590375 + ... + 76605325.

It is an arithmetic number, because the mean of its divisors is an integer number (25655389200).

Almost surely, 21145214455350 is an apocalyptic number.

1145214455350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1145214455350 is an abundant number, since it is smaller than the sum of its proper divisors (1317702907850).

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

1145214455350 is a wasteful number, since it uses less digits than its factorization.

1145214455350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17518 (or 17513 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 1145214455350 in words is "one trillion, one hundred forty-five billion, two hundred fourteen million, four hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 89 175 178 350 445 623 890 1246 2225 2459 3115 4450 4918 6230 12295 14951 15575 17213 24590 29902 31150 34426 61475 74755 86065 104657 122950 149510 172130 209314 218851 373775 430325 437702 523285 747550 860650 1046570 1094255 1330639 1531957 2188510 2616425 2661278 3063914 5232850 5471275 6653195 7659785 9314473 10942550 13306390 15319570 18628946 33265975 36764509 38298925 46572365 66531950 73529018 76597850 93144730 183822545 232861825 257351563 367645090 465723650 514703126 919112725 1286757815 1838225450 2573515630 3272041301 6433789075 6544082602 12867578150 16360206505 22904289107 32720413010 45808578214 81801032525 114521445535 163602065050 229042891070 572607227675 1145214455350