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141618138056320 = 2754313323154501
BaseRepresentation
bin100000001100110100001010…
…110100000000011010000000
3200120102120011112110202021011
4200030310022310000122000
5122030232421320300240
61221110250253210304
741554400323601602
oct4014641264003200
9616376145422234
10141618138056320
114113aa07a56922
1213a72663a90994
1361036c1343733
1426d84d68a1172
151158c2d1496ea
hex80cd0ad00680

141618138056320 has 128 divisors (see below), whose sum is σ = 339445689742080. Its totient is φ = 56498449920000.

The previous prime is 141618138056309. The next prime is 141618138056321. The reversal of 141618138056320 is 23650831816141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1416181380563202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141618138056321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916539070 + ... + 916693570.

It is an arithmetic number, because the mean of its divisors is an integer number (2651919451110).

Almost surely, 2141618138056320 is an apocalyptic number.

141618138056320 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 141618138056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169722844871040).

141618138056320 is an abundant number, since it is smaller than the sum of its proper divisors (197827551685760).

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

141618138056320 is a wasteful number, since it uses less digits than its factorization.

141618138056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158274 (or 158262 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 141618138056320 in words is "one hundred forty-one trillion, six hundred eighteen billion, one hundred thirty-eight million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 431 640 862 1724 2155 3323 3448 4310 6646 6896 8620 13292 13792 16615 17240 26584 27584 33230 34480 53168 55168 66460 68960 106336 132920 137920 154501 212672 265840 275840 309002 425344 531680 618004 772505 1063360 1236008 1432213 1545010 2126720 2472016 2864426 3090020 4944032 5728852 6180040 7161065 9888064 11457704 12360080 14322130 19776128 22915408 24720160 28644260 45830816 49440320 57288520 66589931 91661632 98880640 114577040 133179862 183323264 229154080 266359724 332949655 458308160 513406823 532719448 665899310 916616320 1026813646 1065438896 1331798620 2053627292 2130877792 2567034115 2663597240 4107254584 4261755584 5134068230 5327194480 8214509168 8523511168 10268136460 10654388960 16429018336 20536272920 21308777920 32858036672 41072545840 42617555840 65716073344 82145091680 164290183360 221278340713 328580366720 442556681426 885113362852 1106391703565 1770226725704 2212783407130 3540453451408 4425566814260 7080906902816 8851133628520 14161813805632 17702267257040 28323627611264 35404534514080 70809069028160 141618138056320