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3432674243152 = 2471123569212903
BaseRepresentation
bin110001111100111011010…
…101000011001001010000
3110011011022222012011202201
4301330323111003021100
5422220104101240102
611144540534052544
7503000603433160
oct61747325031120
913134288164681
103432674243152
111103875136610
124753377aa154
131bb91359c21b
14bc1dc7505a0
155e45990e987
hex31f3b543250

3432674243152 has 160 divisors (see below), whose sum is σ = 8667679518720. Its totient is φ = 1277003228160.

The previous prime is 3432674243149. The next prime is 3432674243161. The reversal of 3432674243152 is 2513424762343.

It is a super-3 number, since 3×34326742431523 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 16016733 + ... + 16229635.

It is an arithmetic number, because the mean of its divisors is an integer number (54172996992).

Almost surely, 23432674243152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432674243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333839759360).

3432674243152 is an abundant number, since it is smaller than the sum of its proper divisors (5235005275568).

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

3432674243152 is a wasteful number, since it uses less digits than its factorization.

3432674243152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213521 (or 213515 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 46.

The spelling of 3432674243152 in words is "three trillion, four hundred thirty-two billion, six hundred seventy-four million, two hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 569 616 644 1012 1138 1232 1288 1771 2024 2276 2576 3542 3983 4048 4552 6259 7084 7966 9104 12518 13087 14168 15932 25036 26174 28336 31864 43813 50072 52348 63728 87626 91609 100144 104696 143957 175252 183218 209392 212903 287914 350504 366436 425806 575828 701008 732872 851612 1007699 1151656 1465744 1490321 1703224 2015398 2303312 2341933 2980642 3406448 4030796 4683866 4896769 5961284 8061592 9367732 9793538 11922568 16123184 16393531 18735464 19587076 23845136 32787062 34277383 37470928 39174152 53864459 65574124 68554766 78348304 107728918 121141807 131148248 137109532 215457836 242283614 262296496 274219064 377051213 430915672 484567228 548438128 754102426 847992649 861831344 969134456 1332559877 1508204852 1695985298 1938268912 2665119754 2786261561 3016409704 3391970596 5330239508 5572523122 6032819408 6783941192 9327919139 10660479016 11145046244 13567882384 18655838278 19503830927 21320958032 22290092488 30648877171 37311676556 39007661854 44580184976 61297754342 74623353112 78015323708 122595508684 149246706224 156030647416 214542140197 245191017368 312061294832 429084280394 490382034736 858168560788 1716337121576 3432674243152