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234101131440 = 243511531673107
BaseRepresentation
bin1101101000000110000…
…0111100100010110000
3211101020220120122120120
43122001200330202300
512313414342201230
6255313343410240
722625146533201
oct3320140744260
9741226518516
10234101131440
1190310a92a60
1239453bb3980
13190ca254467
14b48b0875a8
15615214d310
hex368183c8b0

234101131440 has 160 divisors (see below), whose sum is σ = 806625444096. Its totient is φ = 55680967680.

The previous prime is 234101131409. The next prime is 234101131489. The reversal of 234101131440 is 44131101432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234101131440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696634 + ... + 976473.

Almost surely, 2234101131440 is an apocalyptic number.

234101131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234101131440 is an abundant number, since it is smaller than the sum of its proper divisors (572524312656).

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

234101131440 is a wasteful number, since it uses less digits than its factorization.

234101131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673187 (or 1673181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 234101131440 its reverse (44131101432), we get a palindrome (278232232872).

The spelling of 234101131440 in words is "two hundred thirty-four billion, one hundred one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 46640 69960 139920 1673107 3346214 5019321 6692428 8365535 10038642 13384856 16731070 18404177 20077284 25096605 26769712 33462140 36808354 40154568 50193210 55212531 66924280 73616708 80309136 88674671 92020885 100386420 110425062 133848560 147233416 177349342 184041770 200772840 220850124 266024013 276062655 294466832 354698684 368083540 401545680 441700248 443373355 532048026 552125310 709397368 736167080 883400496 886746710 975421381 1064096052 1104250620 1330120065 1418794736 1472334160 1773493420 1950842762 2128192104 2208501240 2660240130 2926264143 3546986840 3901685524 4256384208 4417002480 4877106905 5320480260 5852528286 7093973680 7803371048 9754213810 10640960520 11705056572 14631320715 15606742096 19508427620 21281921040 23410113144 29262641430 39016855240 46820226288 58525282860 78033710480 117050565720 234101131440