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4230004311192 = 2331189439410093
BaseRepresentation
bin111101100011011111111…
…001111000010010011000
3112222101101021101022122110
4331203133321320102120
51023301022100424232
612555123120352320
7614415310253052
oct75433771702230
915871337338573
104230004311192
111390a31180970
12583977a756a0
13248b7035c0aa
14108a3a26c8d2
157507360aacc
hex3d8dfe78498

4230004311192 has 128 divisors (see below), whose sum is σ = 11692600128000. Its totient is φ = 1264526883840.

The previous prime is 4230004311161. The next prime is 4230004311209. The reversal of 4230004311192 is 2911134000324.

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, 10109698 + ... + 10519790.

It is an arithmetic number, because the mean of its divisors is an integer number (91348438500).

Almost surely, 24230004311192 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 4230004311192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846300064000).

4230004311192 is an abundant number, since it is smaller than the sum of its proper divisors (7462595816808).

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

4230004311192 is a wasteful number, since it uses less digits than its factorization.

4230004311192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410641 (or 410637 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 4230004311192 in words is "four trillion, two hundred thirty billion, four million, three hundred eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 439 534 712 878 979 1068 1317 1756 1958 2136 2634 2937 3512 3916 4829 5268 5874 7832 9658 10536 11748 14487 19316 23496 28974 38632 39071 57948 78142 115896 117213 156284 234426 312568 410093 429781 468852 820186 859562 937704 1230279 1289343 1640372 1719124 2460558 2578686 3280744 3438248 4511023 4921116 5157372 9022046 9842232 10314744 13533069 18044092 27066138 36088184 36498277 54132276 72996554 108264552 109494831 145993108 180030827 218989662 291986216 360061654 401481047 437979324 540092481 720123308 802962094 875958648 1080184962 1204443141 1440246616 1605924188 1980339097 2160369924 2408886282 3211848376 3960678194 4320739848 4817772564 5941017291 7921356388 9635545128 11882034582 15842712776 16022743603 23764069164 32045487206 47528138328 48068230809 64090974412 96136461618 128181948824 176250179633 192272923236 352500359266 384545846472 528750538899 705000718532 1057501077798 1410001437064 2115002155596 4230004311192