Search a number
-
+
219068236109440 = 2754371591111933
BaseRepresentation
bin110001110011110111001100…
…011001010001011010000000
31001201122201102000221122122201
4301303313030121101122000
5212203203221421000230
62053530320333442544
764100105053055104
oct6163671431213200
91051581360848581
10219068236109440
1163890354206473
12206a0a85040454
13953107a1653b3
143c14d60097904
151a4d702eea5ca
hexc73dcc651680

219068236109440 has 128 divisors (see below), whose sum is σ = 535964641660800. Its totient is φ = 85577417920512.

The previous prime is 219068236109339. The next prime is 219068236109501. The reversal of 219068236109440 is 44901632860912.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2190682361094402 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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, 196459714 + ... + 197571646.

It is an arithmetic number, because the mean of its divisors is an integer number (4187223762975).

Almost surely, 2219068236109440 is an apocalyptic number.

219068236109440 is a gapful number since it is divisible by the number (20) 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 219068236109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267982320830400).

219068236109440 is an abundant number, since it is smaller than the sum of its proper divisors (316896405551360).

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

219068236109440 is a wasteful number, since it uses less digits than its factorization.

219068236109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119154 (or 1119142 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 219068236109440 in words is "two hundred nineteen trillion, sixty-eight billion, two hundred thirty-six million, one hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 7159 13760 14318 27520 28636 35795 57272 71590 114544 143180 229088 286360 307837 458176 572720 615674 916352 1111933 1145440 1231348 1539185 2223866 2290880 2462696 3078370 4447732 4581760 4925392 5559665 6156740 8895464 9850784 11119330 12313480 17790928 19701568 22238660 24626960 35581856 39403136 44477320 47813119 49253920 71163712 88954640 95626238 98507840 142327424 177909280 191252476 197015680 239065595 355818560 382504952 478131190 711637120 765009904 956262380 1530019808 1912524760 3060039616 3825049520 6120079232 7650099040 7960328347 15300198080 15920656694 30600396160 31841313388 39801641735 63682626776 79603283470 127365253552 159206566940 254730507104 318413133880 342294118921 509461014208 636826267760 684588237842 1018922028416 1273652535520 1369176475684 1711470594605 2547305071040 2738352951368 3422941189210 5094610142080 5476705902736 6845882378420 10953411805472 13691764756840 21906823610944 27383529513680 43813647221888 54767059027360 109534118054720 219068236109440