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114169077240 = 23354146350119
BaseRepresentation
bin110101001010100000…
…0011101110111111000
3101220200122021001012020
41222111000131313320
53332304240432430
6124240515314440
711151134100411
oct1522500356770
9356618231166
10114169077240
1144467516599
121a162baba20
13a9c616990a
145750b8a808
152e83119b10
hex1a9501ddf8

114169077240 has 128 divisors (see below), whose sum is σ = 351625881600. Its totient is φ = 29637780480.

The previous prime is 114169077227. The next prime is 114169077259. The reversal of 114169077240 is 42770961411.

It is a junction number, because it is equal to n+sod(n) for n = 114169077192 and 114169077201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2252901 + ... + 2303019.

It is an arithmetic number, because the mean of its divisors is an integer number (2747077200).

Almost surely, 2114169077240 is an apocalyptic number.

114169077240 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 114169077240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175812940800).

114169077240 is an abundant number, since it is smaller than the sum of its proper divisors (237456804360).

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

114169077240 is a wasteful number, since it uses less digits than its factorization.

114169077240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50637 (or 50633 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 114169077240 in words is "one hundred fourteen billion, one hundred sixty-nine million, seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 463 492 615 820 926 984 1230 1389 1640 1852 2315 2460 2778 3704 4630 4920 5556 6945 9260 11112 13890 18520 18983 27780 37966 50119 55560 56949 75932 94915 100238 113898 150357 151864 189830 200476 227796 250595 284745 300714 379660 400952 455592 501190 569490 601428 751785 759320 1002380 1138980 1202856 1503570 2004760 2054879 2277960 3007140 4109758 6014280 6164637 8219516 10274395 12329274 16439032 20548790 23205097 24658548 30823185 41097580 46410194 49317096 61646370 69615291 82195160 92820388 116025485 123292740 139230582 185640776 232050970 246585480 278461164 348076455 464101940 556922328 696152910 928203880 951408977 1392305820 1902817954 2784611640 2854226931 3805635908 4757044885 5708453862 7611271816 9514089770 11416907724 14271134655 19028179540 22833815448 28542269310 38056359080 57084538620 114169077240