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1344746440098 = 232232191739399
BaseRepresentation
bin10011100100011001001…
…000100100010110100010
311202120000200200010111100
4103210121020210112202
5134013020042040343
62505433515055230
7166104033100065
oct23443110442642
94676020603440
101344746440098
114793383429a6
12198754a41516
1399a6961a729
144912c2928dc
1524ea74799d3
hex139192245a2

1344746440098 has 72 divisors (see below), whose sum is σ = 3061754841600. Its totient is φ = 426514342320.

The previous prime is 1344746440069. The next prime is 1344746440109. The reversal of 1344746440098 is 8900446474431.

It is a happy number.

1344746440098 is a `hidden beast` number, since 1 + 3 + 44 + 74 + 6 + 440 + 0 + 98 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1449003 + ... + 2188401.

It is an arithmetic number, because the mean of its divisors is an integer number (42524372800).

Almost surely, 21344746440098 is an apocalyptic number.

1344746440098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344746440098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530877420800).

1344746440098 is an abundant number, since it is smaller than the sum of its proper divisors (1717008401502).

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

1344746440098 is a wasteful number, since it uses less digits than its factorization.

1344746440098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739644 (or 739618 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1344746440098 in words is "one trillion, three hundred forty-four billion, seven hundred forty-six million, four hundred forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 191 207 382 414 529 573 1058 1146 1587 1719 3174 3438 4393 4761 8786 9522 13179 26358 39537 79074 101039 202078 303117 606234 739399 909351 1478798 1818702 2218197 4436394 6654591 13309182 17006177 34012354 51018531 102037062 141225209 153055593 282450418 306111186 391142071 423675627 782284142 847351254 1173426213 1271026881 2346852426 2542053762 3248179807 3520278639 6496359614 7040557278 9744539421 19489078842 29233618263 58467236526 74708135561 149416271122 224124406683 448248813366 672373220049 1344746440098