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314934999609174 = 237731093385324391
BaseRepresentation
bin100011110011011101000010…
…0110001110110111101010110
31112022002111021121120222200020
41013212322010301312331112
5312234343334344443144
63033451050321530010
7123223205610526110
oct10746720461667526
91468074247528606
10314934999609174
1191391201a3933a
122b3a461a1a3906
1310696320c2c979
1457aad146d43b0
1526622ae78d419
hex11e6e84c76f56

314934999609174 has 128 divisors (see below), whose sum is σ = 730599543379968. Its totient is φ = 88640961776640.

The previous prime is 314934999609133. The next prime is 314934999609229. The reversal of 314934999609174 is 471906999439413.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314934999609174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12911922519 + ... + 12911946909.

It is an arithmetic number, because the mean of its divisors is an integer number (5707808932656).

Almost surely, 2314934999609174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314934999609174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365299771689984).

314934999609174 is an abundant number, since it is smaller than the sum of its proper divisors (415664543770794).

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

314934999609174 is a wasteful number, since it uses less digits than its factorization.

314934999609174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422.

The product of its (nonzero) digits is 1428513408, while the sum is 78.

The spelling of 314934999609174 in words is "three hundred fourteen trillion, nine hundred thirty-four billion, nine hundred ninety-nine million, six hundred nine thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1093 1533 2186 3066 3279 3853 6558 7651 7706 11559 15302 22953 23118 24391 26971 45906 48782 53942 73173 79789 80913 146346 159578 161826 170737 239367 281269 341474 478734 512211 558523 562538 843807 1024422 1117046 1675569 1687614 1780543 1968883 3351138 3561086 3937766 4211329 5341629 5906649 8422658 10683258 11813298 12463801 12633987 24927602 25267974 26659363 29479303 37391403 53318726 58958606 74782806 79978089 88437909 93978523 159956178 176875818 186615541 187957046 281935569 307427017 373231082 559846623 563871138 614854034 657849661 922281051 1119693246 1315699322 1844562102 1946133499 1973548983 2151989119 3892266998 3947097966 4303978238 5838400497 6455967357 6860432179 11676800994 12911934714 13622934493 13720864358 20581296537 27245868986 40868803479 41162593074 48023025253 81737606958 96046050506 102718525639 144069075759 205437051278 288138151518 308155576917 616311153834 719029679473 1438059358946 2157089038419 4314178076838 7498452371647 14996904743294 22495357114941 44990714229882 52489166601529 104978333203058 157467499804587 314934999609174