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3545331048240 = 2435194631679233
BaseRepresentation
bin110011100101110110001…
…100101001111100110000
3110112221010012211211120020
4303211312030221330300
5431041314222020430
611312411432243440
7514066415454102
oct63456614517460
913487105754506
103545331048240
111147625a4a703
12493138240580
131c942833aa37
14c3848721572
156234eda8b10
hex33976329f30

3545331048240 has 160 divisors (see below), whose sum is σ = 11593968890880. Its totient is φ = 893727571968.

The previous prime is 3545331048199. The next prime is 3545331048253. The reversal of 3545331048240 is 428401335453.

It is a super-2 number, since 2×35453310482402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3545331048192 and 3545331048201.

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, 1271664 + ... + 2950896.

It is an arithmetic number, because the mean of its divisors is an integer number (72462305568).

Almost surely, 23545331048240 is an apocalyptic number.

3545331048240 is a gapful number since it is divisible by the number (30) 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 3545331048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796984445440).

3545331048240 is an abundant number, since it is smaller than the sum of its proper divisors (8048637842640).

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

3545331048240 is a wasteful number, since it uses less digits than its factorization.

3545331048240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679731 (or 1679725 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 3545331048240 in words is "three trillion, five hundred forty-five billion, three hundred thirty-one million, forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 463 570 760 912 926 1140 1389 1520 1852 2280 2315 2778 3704 4560 4630 5556 6945 7408 8797 9260 11112 13890 17594 18520 22224 26391 27780 35188 37040 43985 52782 55560 70376 87970 105564 111120 131955 140752 175940 211128 263910 351880 422256 527820 703760 1055640 1679233 2111280 3358466 5037699 6716932 8396165 10075398 13433864 16792330 20150796 25188495 26867728 31905427 33584660 40301592 50376990 63810854 67169320 80603184 95716281 100753980 127621708 134338640 159527135 191432562 201507960 255243416 319054270 382865124 403015920 478581405 510486832 638108540 765730248 777484879 957162810 1276217080 1531460496 1554969758 1914325620 2332454637 2552434160 3109939516 3828651240 3887424395 4664909274 6219879032 7657302480 7774848790 9329818548 11662273185 12439758064 14772212701 15549697580 18659637096 23324546370 29544425402 31099395160 37319274192 44316638103 46649092740 59088850804 62198790320 73861063505 88633276206 93298185480 118177701608 147722127010 177266552412 186596370960 221583190515 236355403216 295444254020 354533104824 443166381030 590888508040 709066209648 886332762060 1181777016080 1772665524120 3545331048240