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40034122000 = 2453234121227
BaseRepresentation
bin100101010010001110…
…000011100100010000
310211100001021010002021
4211102032003210100
51123442213401000
630220314101224
72615040264565
oct452216034420
9124301233067
1040034122000
1115a84244444
12791341a814
133a1016b7b2
141d1ad3086c
1510949c711a
hex952383910

40034122000 has 160 divisors (see below), whose sum is σ = 103479876864. Its totient is φ = 14943104000.

The previous prime is 40034121997. The next prime is 40034122013. The reversal of 40034122000 is 22143004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875387 + ... + 1896613.

Almost surely, 240034122000 is an apocalyptic number.

40034122000 is a gapful number since it is divisible by the number (40) 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 40034122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51739938432).

40034122000 is an abundant number, since it is smaller than the sum of its proper divisors (63445754864).

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

40034122000 is a wasteful number, since it uses less digits than its factorization.

40034122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21314 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40034122000 its reverse (22143004), we get a palindrome (40056265004).

The spelling of 40034122000 in words is "forty billion, thirty-four million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 125 164 184 200 205 230 250 328 368 400 410 460 500 575 656 820 920 943 1000 1025 1150 1640 1840 1886 2000 2050 2300 2875 3280 3772 4100 4600 4715 5125 5750 7544 8200 9200 9430 10250 11500 15088 16400 18860 20500 21227 23000 23575 37720 41000 42454 46000 47150 75440 82000 84908 94300 106135 117875 169816 188600 212270 235750 339632 377200 424540 471500 488221 530675 849080 870307 943000 976442 1061350 1698160 1740614 1886000 1952884 2122700 2441105 2653375 3481228 3905768 4245400 4351535 4882210 5306750 6962456 7811536 8490800 8703070 9764420 10613500 12205525 13924912 17406140 19528840 20017061 21227000 21757675 24411050 34812280 39057680 40034122 42454000 43515350 48822100 61027625 69624560 80068244 87030700 97644200 100085305 108788375 122055250 160136488 174061400 195288400 200170610 217576750 244110500 320272976 348122800 400341220 435153500 488221000 500426525 800682440 870307000 976442000 1000853050 1601364880 1740614000 2001706100 2502132625 4003412200 5004265250 8006824400 10008530500 20017061000 40034122000