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151351341040 = 24529537915581
BaseRepresentation
bin1000110011110100111…
…1100010111111110000
3112110122221020202021201
42030331033202333300
54434431420403130
6153310240300544
713635425113024
oct2147517427760
9473587222251
10151351341040
1159207982729
12253bb311754
1311370522043
14747b038384
153e0c561bca
hex233d3e2ff0

151351341040 has 160 divisors (see below), whose sum is σ = 375613459200. Its totient is φ = 56620462080.

The previous prime is 151351341023. The next prime is 151351341049. The reversal of 151351341040 is 40143153151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151351341049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9706050 + ... + 9721630.

It is an arithmetic number, because the mean of its divisors is an integer number (2347584120).

Almost surely, 2151351341040 is an apocalyptic number.

151351341040 is a gapful number since it is divisible by the number (10) 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 151351341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187806729600).

151351341040 is an abundant number, since it is smaller than the sum of its proper divisors (224262118160).

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

151351341040 is a wasteful number, since it uses less digits than its factorization.

151351341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 151351341040 its reverse (40143153151), we get a palindrome (191494494191).

The spelling of 151351341040 in words is "one hundred fifty-one billion, three hundred fifty-one million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 79 80 106 116 145 158 212 232 265 290 316 395 424 464 530 580 632 790 848 1060 1160 1264 1537 1580 2120 2291 2320 3074 3160 4187 4240 4582 6148 6320 7685 8374 9164 11455 12296 15370 15581 16748 18328 20935 22910 24592 30740 31162 33496 36656 41870 45820 61480 62324 66992 77905 83740 91640 121423 122960 124648 155810 167480 183280 242846 249296 311620 334960 451849 485692 607115 623240 825793 903698 971384 1214230 1230899 1246480 1651586 1807396 1942768 2259245 2428460 2461798 3303172 3614792 4128965 4518490 4856920 4923596 6154495 6606344 7229584 8257930 9036980 9713840 9847192 12308990 13212688 16515860 18073960 19694384 23947997 24617980 33031720 35696071 36147920 47895994 49235960 65237647 66063440 71392142 95791988 98471920 119739985 130475294 142784284 178480355 191583976 239479970 260950588 285568568 326188235 356960710 383167952 478959940 521901176 571137136 652376470 713921420 957919880 1043802352 1304752940 1427842840 1891891763 1915839760 2609505880 2855685680 3783783526 5219011760 7567567052 9459458815 15135134104 18918917630 30270268208 37837835260 75675670520 151351341040