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4154014322040 = 23351117318190639
BaseRepresentation
bin111100011100101110100…
…011000100110101111000
3112201010020101210220101210
4330130232203010311320
51021024410131301130
612500154451243120
7606055230101142
oct74345643046570
915633211726353
104154014322040
111361786876340
125710aaba94a0
1324194cc4247b
141050abcd1c92
15730c71dd5b0
hex3c72e8c4d78

4154014322040 has 128 divisors (see below), whose sum is σ = 13673540275200. Its totient is φ = 1001212715520.

The previous prime is 4154014321957. The next prime is 4154014322063. The reversal of 4154014322040 is 402234104514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4154014321989 and 4154014322007.

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, 8866960 + ... + 9323679.

It is an arithmetic number, because the mean of its divisors is an integer number (106824533400).

Almost surely, 24154014322040 is an apocalyptic number.

4154014322040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4154014322040 is an abundant number, since it is smaller than the sum of its proper divisors (9519525953160).

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

4154014322040 is a wasteful number, since it uses less digits than its factorization.

4154014322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190837 (or 18190833 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4154014322040 its reverse (402234104514), we get a palindrome (4556248426554).

The spelling of 4154014322040 in words is "four trillion, one hundred fifty-four billion, fourteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 660 692 865 1038 1320 1384 1730 1903 2076 2595 3460 3806 4152 5190 5709 6920 7612 9515 10380 11418 15224 19030 20760 22836 28545 38060 45672 57090 76120 114180 228360 18190639 36381278 54571917 72762556 90953195 109143834 145525112 181906390 200097029 218287668 272859585 363812780 400194058 436575336 545719170 600291087 727625560 800388116 1000485145 1091438340 1200582174 1600776232 2000970290 2182876680 2401164348 3001455435 3146980547 4001940580 4802328696 6002910870 6293961094 8003881160 9440941641 12005821740 12587922188 15734902735 18881883282 24011643480 25175844376 31469805470 34616786017 37763766564 47204708205 62939610940 69233572034 75527533128 94409416410 103850358051 125879221880 138467144068 173083930085 188818832820 207700716102 276934288136 346167860170 377637665640 415401432204 519251790255 692335720340 830802864408 1038503580510 1384671440680 2077007161020 4154014322040