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3134775928984 = 2372335943915443
BaseRepresentation
bin101101100111011111001…
…101001010100010011000
3102002200101220221211222121
4231213133031022202120
5402330010114211414
610400032435231024
7442323445515460
oct55473715124230
912080356854877
103134775928984
11aa94a6319a57
1242765a148474
131997b9ccb8cb
14aba1c7b6ba0
15568219ec724
hex2d9df34a898

3134775928984 has 128 divisors (see below), whose sum is σ = 7045429248000. Its totient is φ = 1278481970304.

The previous prime is 3134775928979. The next prime is 3134775929023. The reversal of 3134775928984 is 4898295774313.

It is a super-2 number, since 2×31347759289842 (a number of 26 digits) contains 22 as substring.

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, 202982367 + ... + 202997809.

It is an arithmetic number, because the mean of its divisors is an integer number (55042416000).

Almost surely, 23134775928984 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 3134775928984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522714624000).

3134775928984 is an abundant number, since it is smaller than the sum of its proper divisors (3910653319016).

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

3134775928984 is a wasteful number, since it uses less digits than its factorization.

3134775928984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16273 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 70.

The spelling of 3134775928984 in words is "three trillion, one hundred thirty-four billion, seven hundred seventy-five million, nine hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 359 439 644 718 878 1288 1436 1756 2513 2872 3073 3512 5026 6146 8257 10052 10097 12292 15443 16514 20104 20194 24584 30886 33028 40388 57799 61772 66056 70679 80776 108101 115598 123544 141358 157601 216202 231196 282716 315202 355189 432404 462392 565432 630404 710378 864808 1103207 1260808 1420756 2206414 2486323 2841512 3624823 4412828 4972646 5544037 6779477 7249646 8825656 9945292 11088074 13558954 14499292 19890584 22176148 25373761 27117908 28998584 38808259 44352296 47456339 50747522 54235816 77616518 94912678 101495044 127512851 155233036 155927971 189825356 202990088 255025702 310466072 311855942 379650712 510051404 623711884 892589957 1020102808 1091495797 1247423768 1785179914 2182991594 2433832243 3570359828 4365983188 4867664486 7140719656 8731966376 9735328972 17036825701 19470657944 34073651402 55978141589 68147302804 111956283178 136294605608 223912566356 391846991123 447825132712 783693982246 1567387964492 3134775928984