Search a number
-
+
312132978698004 = 2232531091590794351
BaseRepresentation
bin100011011111000100001111…
…1010100010110011100010100
31111221011121202221220110202200
41012332020133110112130110
5311402441320021314004
63023503524425204500
7122513602122001512
oct10676103724263424
91457147687813680
10312132978698004
1190500942204342
122b011567030730
1310522023b32809
14571146133d4b2
152614465d7a239
hex11be21f516714

312132978698004 has 144 divisors (see below), whose sum is σ = 811324386512640. Its totient is φ = 101137270291200.

The previous prime is 312132978697979. The next prime is 312132978698011. The reversal of 312132978698004 is 400896879231213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308163429 + ... + 3308257779.

It is an arithmetic number, because the mean of its divisors is an integer number (5634197128560).

Almost surely, 2312132978698004 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 312132978698004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405662193256320).

312132978698004 is an abundant number, since it is smaller than the sum of its proper divisors (499191407814636).

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

312132978698004 is a wasteful number, since it uses less digits than its factorization.

312132978698004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110430 (or 110425 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 312132978698004 in words is "three hundred twelve trillion, one hundred thirty-two billion, nine hundred seventy-eight million, six hundred ninety-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 109 159 212 218 318 327 436 477 636 654 954 981 1308 1908 1962 3924 5777 11554 15907 17331 23108 31814 34662 47721 51993 63628 69324 94351 95442 103986 143163 188702 190884 207972 283053 286326 377404 566106 572652 843071 849159 1132212 1686142 1698318 1733863 2529213 3372284 3396636 3467726 5000603 5058426 5201589 6935452 7587639 10001206 10116852 10284259 10403178 15001809 15175278 15604767 20002412 20568518 20806356 30003618 30350556 30852777 31209534 41137036 45005427 60007236 61705554 62419068 90010854 91894739 92558331 123411108 180021708 183789478 185116662 275684217 367578956 370233324 545065727 551368434 827052651 1090131454 1102736868 1500841357 1635197181 1654105302 2180262908 3001682714 3270394362 3308210604 4502524071 4905591543 6003365428 6540788724 9005048142 9811183086 13507572213 18010096284 19622366172 27015144426 54030288852 79544591921 159089183842 163591707913 238633775763 318178367684 327183415826 477267551526 490775123739 654366831652 715901327289 954535103052 981550247478 1431802654578 1472325371217 1963100494956 2863605309156 2944650742434 5889301484868 8670360519389 17340721038778 26011081558167 34681442077556 52022163116334 78033244674501 104044326232668 156066489349002 312132978698004