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342626094972 = 2232743313212377
BaseRepresentation
bin1001111110001100001…
…10110100111101111100
31012202101012110000022100
410333012012310331330
521103144240014342
6421222242145100
733516410516610
oct4770606647574
91182335400270
10342626094972
11122341553367
12564a0952190
1326403c8c805
14128243c5340
158da49cce4c
hex4fc61b4f7c

342626094972 has 144 divisors (see below), whose sum is σ = 993263357632. Its totient is φ = 97552097280.

The previous prime is 342626094949. The next prime is 342626095001. The reversal of 342626094972 is 279490626243.

342626094972 is a `hidden beast` number, since 3 + 4 + 2 + 626 + 0 + 9 + 4 + 9 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144141048 + ... + 144143424.

Almost surely, 2342626094972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342626094972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496631678816).

342626094972 is an abundant number, since it is smaller than the sum of its proper divisors (650637262660).

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

342626094972 is a wasteful number, since it uses less digits than its factorization.

342626094972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 342626094972 in words is "three hundred forty-two billion, six hundred twenty-six million, ninety-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 433 866 1299 1321 1732 2377 2598 2642 3031 3897 3963 4754 5196 5284 6062 7131 7794 7926 9093 9247 9508 11889 12124 14262 15588 15852 16639 18186 18494 21393 23778 27279 27741 28524 33278 36372 36988 42786 47556 49917 54558 55482 66556 83223 85572 99834 109116 110964 149751 166446 199668 299502 332892 571993 599004 1029241 1143986 1715979 2058482 2287972 3087723 3140017 3431958 4003951 4116964 5147937 6175446 6280034 6863916 7204687 8007902 9263169 9420051 10295874 12011853 12350892 12560068 14409374 16015804 18526338 18840102 20591748 21614061 21980119 24023706 28260153 28818748 36035559 37052676 37680204 43228122 43960238 48047412 56520306 64842183 65940357 72071118 86456244 87920476 113040612 129684366 131880714 144142236 197821071 259368732 263761428 395642142 791284284 1359627361 2719254722 4078882083 5438509444 8157764166 9517391527 12236646249 16315528332 19034783054 24473292498 28552174581 38069566108 48946584996 57104349162 85656523743 114208698324 171313047486 342626094972