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1114420025340 = 2232523318784463
BaseRepresentation
bin10000001101111000100…
…111000001011111111100
310221112111211212221202100
4100031320213001133330
5121224313011302330
62211542452425100
7143341236630516
oct20157047013774
93845454787670
101114420025340
1139a694062506
1215bb95018190
138112141a54b
143bd1c678bb6
151dec6901060
hex103789c17fc

1114420025340 has 144 divisors (see below), whose sum is σ = 3528530224128. Its totient is φ = 284165304192.

The previous prime is 1114420025339. The next prime is 1114420025347. The reversal of 1114420025340 is 435200244111.

1114420025340 is a `hidden beast` number, since 1 + 114 + 4 + 200 + 2 + 5 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114420025347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13151949 + ... + 13236411.

It is an arithmetic number, because the mean of its divisors is an integer number (24503682112).

Almost surely, 21114420025340 is an apocalyptic number.

1114420025340 is a gapful number since it is divisible by the number (10) 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 1114420025340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764265112064).

1114420025340 is an abundant number, since it is smaller than the sum of its proper divisors (2414110198788).

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

1114420025340 is a wasteful number, since it uses less digits than its factorization.

1114420025340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87688 (or 87683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1114420025340 its reverse (435200244111), we get a palindrome (1549620269451).

The spelling of 1114420025340 in words is "one trillion, one hundred fourteen billion, four hundred twenty million, twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3187 4140 6374 9561 12748 15935 19122 28683 31870 38244 47805 57366 63740 73301 84463 95610 114732 143415 146602 168926 191220 219903 253389 286830 293204 337852 366505 422315 439806 506778 573660 659709 733010 760167 844630 879612 1013556 1099515 1266945 1319418 1466020 1520334 1689260 1942649 2199030 2533890 2638836 3040668 3298545 3800835 3885298 4398060 5067780 5827947 6597090 7601670 7770596 9713245 11655894 13194180 15203340 17483841 19426490 23311788 29139735 34967682 38852980 58279470 69935364 87419205 116558940 174838410 269183581 349676820 538367162 807550743 1076734324 1345917905 1615101486 2422652229 2691835810 3230202972 4037753715 4845304458 5383671620 6191222363 8075507430 9690608916 12113261145 12382444726 16151014860 18573667089 24226522290 24764889452 30956111815 37147334178 48453044580 55721001267 61912223630 74294668356 92868335445 111442002534 123824447260 185736670890 222884005068 278605006335 371473341780 557210012670 1114420025340