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2214555154944 = 29311451729017
BaseRepresentation
bin100000001110011101110…
…001011111101000000000
321211201011011020000110020
4200032131301133220000
5242240402104424234
64413204054333440
7315665512142106
oct40163561375000
97751134200406
102214555154944
11784207719360
122b924205a280
13130aa71b9062
1479283a79c76
153c914195549
hex2039dc5fa00

2214555154944 has 160 divisors (see below), whose sum is σ = 6437697621696. Its totient is φ = 670905630720.

The previous prime is 2214555154921. The next prime is 2214555154957. The reversal of 2214555154944 is 4494515554122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76304724 + ... + 76333740.

Almost surely, 22214555154944 is an apocalyptic number.

2214555154944 is a gapful number since it is divisible by the number (24) 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 2214555154944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218848810848).

2214555154944 is an abundant number, since it is smaller than the sum of its proper divisors (4223142466752).

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

2214555154944 is a wasteful number, since it uses less digits than its factorization.

2214555154944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33566 (or 33550 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 51.

The spelling of 2214555154944 in words is "two trillion, two hundred fourteen billion, five hundred fifty-five million, one hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 4517 5632 8448 9034 13551 16896 18068 27102 29017 36136 49687 54204 58034 72272 87051 99374 108408 116068 144544 149061 174102 198748 216816 232136 289088 298122 319187 348204 397496 433632 464272 578176 596244 638374 696408 794992 867264 928544 957561 1156352 1192488 1276748 1392816 1589984 1734528 1857088 1915122 2312704 2384976 2553496 2785632 3179968 3469056 3714176 3830244 4769952 5106992 5571264 6359936 6938112 7428352 7660488 9539904 10213984 11142528 12719872 14856704 15320976 19079808 20427968 22285056 25439744 30641952 38159616 40855936 44570112 61283904 76319232 81711872 122567808 131069789 163423744 245135616 262139578 393209367 490271232 524279156 786418734 1048558312 1441767679 1572837468 2097116624 2883535358 3145674936 4194233248 4325303037 5767070716 6291349872 8388466496 8650606074 11534141432 12582699744 16776932992 17301212148 23068282864 25165399488 33553865984 34602424296 46136565728 50330798976 67107731968 69204848592 92273131456 100661597952 138409697184 184546262912 201323195904 276819394368 369092525824 553638788736 738185051648 1107277577472 2214555154944